57009056 has 48 divisors (see below), whose sum is σ = 123719904. Its totient is φ = 25691904.

The previous prime is 57009049. The next prime is 57009059. The reversal of 57009056 is 65090075.

57009056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57009056² = 6500064932022272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (57009059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16295 + ... + 19481.

It is an arithmetic number, because the mean of its divisors is an integer number (2577498).

Almost surely, 2^57009056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57009056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61859952).

57009056 is an abundant number, since it is smaller than the sum of its proper divisors (66710848).

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

57009056 is a wasteful number, since it uses less digits than its factorization.

57009056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 57009056 is about 7550.4341597023. The cubic root of 57009056 is about 384.8704933503.

The spelling of 57009056 in words is "fifty-seven million, nine thousand, fifty-six".