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57128125 = 55101181
BaseRepresentation
bin1101100111101…
…1010010111101
310222111102001111
43121323102331
5104111100000
65400242021
71262403205
oct331732275
9128442044
1057128125
112a27a22a
1217170311
13bab2a32
147831405
155036cba
hex367b4bd

57128125 has 24 divisors (see below), whose sum is σ = 72510984. Its totient is φ = 45000000.

The previous prime is 57128087. The next prime is 57128161. The reversal of 57128125 is 52182175.

It can be written as a sum of positive squares in 12 ways, for example, as 57123364 + 4761 = 7558^2 + 69^2 .

It is not a de Polignac number, because 57128125 - 217 = 56997053 is a prime.

It is a super-3 number, since 3×571281253 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315535 + ... + 315715.

It is an arithmetic number, because the mean of its divisors is an integer number (3021291).

Almost surely, 257128125 is an apocalyptic number.

It is an amenable number.

57128125 is a deficient number, since it is larger than the sum of its proper divisors (15382859).

57128125 is an equidigital number, since it uses as much as digits as its factorization.

57128125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its digits is 5600, while the sum is 31.

The square root of 57128125 is about 7558.3149577138. The cubic root of 57128125 is about 385.1382536023.

The spelling of 57128125 in words is "fifty-seven million, one hundred twenty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 101 125 181 505 625 905 2525 3125 4525 12625 18281 22625 63125 91405 113125 315625 457025 565625 2285125 11425625 57128125