57142032 has 80 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 17790976.

The previous prime is 57142013. The next prime is 57142037. The reversal of 57142032 is 23024175.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 57141993 and 57142011.

It is not an unprimeable number, because it can be changed into a prime (57142037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194878 + ... + 195170.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^57142032 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 57142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

57142032 is an abundant number, since it is smaller than the sum of its proper divisors (100347888).

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

57142032 is a wasteful number, since it uses less digits than its factorization.

57142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 57142032 is about 7559.2348819176. The cubic root of 57142032 is about 385.1695031438.

The spelling of 57142032 in words is "fifty-seven million, one hundred forty-two thousand, thirty-two".