57189200 has 30 divisors (see below), whose sum is σ = 137398014. Its totient is φ = 22875520.

The previous prime is 57189199. The next prime is 57189211. The reversal of 57189200 is 298175.

It can be written as a sum of positive squares in 3 ways, for example, as 12138256 + 45050944 = 3484^2 + 6712^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 71087 + ... + 71886.

Almost surely, 2^57189200 is an apocalyptic number.

57189200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57189200 is an abundant number, since it is smaller than the sum of its proper divisors (80208814).

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

57189200 is a wasteful number, since it uses less digits than its factorization.

57189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142991 (or 142980 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 57189200 is about 7562.3541308246. The cubic root of 57189200 is about 385.2754536320.

The spelling of 57189200 in words is "fifty-seven million, one hundred eighty-nine thousand, two hundred".