57642500 has 30 divisors (see below), whose sum is σ = 126058086. Its totient is φ = 23056000.

The previous prime is 57642449. The next prime is 57642509. The reversal of 57642500 is 524675.

57642500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 8305924 + 49336576 = 2882^2 + 7024^2 .

It is not an unprimeable number, because it can be changed into a prime (57642509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9029 + ... + 14028.

Almost surely, 2^57642500 is an apocalyptic number.

57642500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57642500 is an abundant number, since it is smaller than the sum of its proper divisors (68415586).

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

57642500 is a wasteful number, since it uses less digits than its factorization.

57642500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23081 (or 23064 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 57642500 is about 7592.2658014587. The cubic root of 57642500 is about 386.2907149785.

The spelling of 57642500 in words is "fifty-seven million, six hundred forty-two thousand, five hundred".