57377952 has 72 divisors (see below), whose sum is σ = 163980180. Its totient is φ = 19031040.

The previous prime is 57377933. The next prime is 57377977. The reversal of 57377952 is 25977375.

It is a happy number.

57377952 is a `hidden beast` number, since 573 + 7 + 79 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 767376 = 7524^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 57377898 and 57377907.

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 11 ways as a sum of consecutive naturals, for example, 80574 + ... + 81282.

Almost surely, 2^57377952 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 57377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81990090).

57377952 is an abundant number, since it is smaller than the sum of its proper divisors (106602228).

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

57377952 is a wasteful number, since it uses less digits than its factorization.

57377952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 995 counting only the distinct ones).

The product of its digits is 463050, while the sum is 45.

The square root of 57377952 is about 7574.8235623016. The cubic root of 57377952 is about 385.6988532332.

It can be divided in two parts, 5737 and 7952, that added together give a square (13689 = 117²).

The spelling of 57377952 in words is "fifty-seven million, three hundred seventy-seven thousand, nine hundred fifty-two".