57010752 has 84 divisors (see below), whose sum is σ = 169095420. Its totient is φ = 18342912.

The previous prime is 57010729. The next prime is 57010753. The reversal of 57010752 is 25701075.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 13133376 = 6624^2 + 3624^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57010753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14998 + ... + 18410.

Almost surely, 2^57010752 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 57010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84547710).

57010752 is an abundant number, since it is smaller than the sum of its proper divisors (112084668).

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

57010752 is a wasteful number, since it uses less digits than its factorization.

57010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 57010752 is about 7550.5464702894. The cubic root of 57010752 is about 384.8743099012.

The spelling of 57010752 in words is "fifty-seven million, ten thousand, seven hundred fifty-two".