57037952 has 48 divisors (see below), whose sum is σ = 116817030. Its totient is φ = 27740160.

The previous prime is 57037951. The next prime is 57037957. The reversal of 57037952 is 25973075.

It can be written as a sum of positive squares in only one way, i.e., 42719296 + 14318656 = 6536^2 + 3784^2 .

It is not an unprimeable number, because it can be changed into a prime (57037951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236552 + ... + 236792.

Almost surely, 2^57037952 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 57037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58408515).

57037952 is an abundant number, since it is smaller than the sum of its proper divisors (59779078).

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

57037952 is an equidigital number, since it uses as much as digits as its factorization.

57037952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

The square root of 57037952 is about 7552.3474496345. The cubic root of 57037952 is about 384.9355083970.

The spelling of 57037952 in words is "fifty-seven million, thirty-seven thousand, nine hundred fifty-two".