57152964 has 48 divisors (see below), whose sum is σ = 150183936. Its totient is φ = 16759200.

The previous prime is 57152959. The next prime is 57152981. The reversal of 57152964 is 46925175.

It is a super-2 number, since 2×57152964² = 6532922587970592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2892 + ... + 11075.

It is an arithmetic number, because the mean of its divisors is an integer number (3128832).

Almost surely, 2^57152964 is an apocalyptic number.

It is an amenable number.

57152964 is an abundant number, since it is smaller than the sum of its proper divisors (93030972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57152964 is a wasteful number, since it uses less digits than its factorization.

57152964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14016 (or 14014 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 57152964 is about 7559.9579363909. The cubic root of 57152964 is about 385.1940641915.

It can be divided in two parts, 571 and 52964, that added together give a palindrome (53535).

The spelling of 57152964 in words is "fifty-seven million, one hundred fifty-two thousand, nine hundred sixty-four".