57083200 has 42 divisors (see below), whose sum is σ = 140464286. Its totient is φ = 22832640.

The previous prime is 57083189. The next prime is 57083203. The reversal of 57083200 is 238075.

It can be written as a sum of positive squares in 3 ways, for example, as 6843456 + 50239744 = 2616^2 + 7088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57083203) 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, 16239 + ... + 19438.

Almost surely, 2^57083200 is an apocalyptic number.

57083200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57083200 is an abundant number, since it is smaller than the sum of its proper divisors (83381086).

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

57083200 is a wasteful number, since it uses less digits than its factorization.

57083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35699 (or 35684 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 57083200 is about 7555.3424806557. The cubic root of 57083200 is about 385.0372708057.

The spelling of 57083200 in words is "fifty-seven million, eighty-three thousand, two hundred".