57355873 (number)
57,355,873 (fiftyseven million three hundred fiftyfive thousand eight hundred seventythree) is an odd eightdigits prime number following 57355872 and preceding 57355874. In scientific notation, it is written as 5.7355873 × 10^{7}. The sum of its digits is 43. It has a total of 1 prime factor and 2 positive divisors. There are 57,355,872 positive integers (up to 57355873) that are relatively prime to 57355873.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 8
 Sum of Digits 43
 Digital Root 7
Name
Short name  57 million 355 thousand 873 

Full name  fiftyseven million three hundred fiftyfive thousand eight hundred seventythree 
Notation
Scientific notation  5.7355873 × 10^{7} 

Engineering notation  57.355873 × 10^{6} 
Prime Factorization of 57355873
Prime Factorization 57355873
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  57355873  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  17.864785802574  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 57,355,873 is 57355873. Since it has a total of 1 prime factor, 57,355,873 is a prime number.
Divisors of 57355873
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  57355874  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  28677937  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  7573.3660283919  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.99999996513  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 57,355,873 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 57,355,873) is 57,355,874, the average is 28,677,937.
Other Arithmetic Functions (n = 57355873)
φ(n)  Euler Totient  57355872  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  57355872  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3409594  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 57,355,872 positive integers (less than 57,355,873) that are coprime with 57,355,873. And there are approximately 3,409,594 prime numbers less than or equal to 57,355,873.
Divisibility of 57355873
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  1  1  7 
57,355,873 is not divisible by any number less than or equal to 9.
Classification of 57355873
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (57355873)
Base  System  Value 

2  Binary  11011010110010111001100001 
3  Ternary  10222220222110121 
4  Quaternary  3122302321201 
5  Quinary  104140341443 
6  Senary  5405200241 
8  Octal  332627141 
10  Decimal  57355873 
12  Duodecimal  17260081 
16  Hexadecimal  36b2e61 
20  Vigesimal  hi99dd 
36  Base36  y5c2p 
Basic calculations (n = 57355873)
Multiplication
n×yn×2  114711746 

n×3  172067619 
n×4  229423492 
n×5  286779365 
Division
n÷yn÷2  28677936.500 

n÷3  19118624.333 
n÷4  14338968.250 
n÷5  11471174.600 
Exponentiation
n^{y}n^{2}  3289696167592129 

n^{3}  188683395597000866723617 
n^{4}  10822100875070340892689702752641 
n^{5}  620711043383723338307817219488227610593 
Nth Root
^{y}√n^{2}√n  7573.3660283919 

^{3}√n  385.64937466051 
^{4}√n  87.025088499765 
^{5}√n  35.621776864425 
57355873 as geometric shapes
Circle
Radius = nDiameter  114711746 

Circumference  360377578.51406 
Area  1.033488531265E+16 
Sphere
Radius = nVolume  7.9035515928255E+23 

Surface area  4.13395412506E+16 
Circumference  360377578.51406 
Square
Length = nPerimeter  229423492 

Area  3289696167592129 
Diagonal  81113453.478349 
Cube
Length = nSurface area  19738177005552774 

Volume  1.88683395597E+23 
Space diagonal  99343286.148468 
Equilateral Triangle
Length = nPerimeter  172067619 

Area  1.4244802259335E+15 
Altitude  49671643.074234 
Triangular Pyramid
Length = nSurface area  5.6979209037342E+15 

Volume  2.2236551420657E+22 
Height  46830874.200625 
Cryptographic Hash Functions
md5  71e9d590c3b41b6ffedd57d2ad58467e 

sha1  1d9e33700b8620b8782dd730d9255ad3cefae7f7 
sha256  0a8556568cc56a7dcee323b87dcfbacd9db86bbf4c3947abc30a3ab69cc7e48f 
sha512  bd1079548af555b232a5bf12270fee4e80f3b34a5579f684aed794f5bc3e971651abe5912988a614821ac4a71a87a2923f013328771ab8f7d863d4bfb97f882d 
ripemd160  b80a9ec1f11e4f99727f6e5ff6b60478585d7916 