57364048 has 40 divisors (see below), whose sum is σ = 129188160. Its totient is φ = 24165120.

The previous prime is 57364031. The next prime is 57364051. The reversal of 57364048 is 84046375.

57364048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57363998 and 57364016.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2268 + ... + 10948.

It is an arithmetic number, because the mean of its divisors is an integer number (3229704).

Almost surely, 2^57364048 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 57364048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64594080).

57364048 is an abundant number, since it is smaller than the sum of its proper divisors (71824112).

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

57364048 is a wasteful number, since it uses less digits than its factorization.

57364048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 57364048 is about 7573.9057295427. The cubic root of 57364048 is about 385.6676961430.

The spelling of 57364048 in words is "fifty-seven million, three hundred sixty-four thousand, forty-eight".