48564864 has 48 divisors (see below), whose sum is σ = 139753770. Its totient is φ = 16187904.

The previous prime is 48564829. The next prime is 48564871. The reversal of 48564864 is 46846584.

48564864 is a `hidden beast` number, since 4 + 8 + 564 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46131264 + 2433600 = 6792^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19927 + ... + 22230.

Almost surely, 2^48564864 is an apocalyptic number.

It is an amenable number.

48564864 is an abundant number, since it is smaller than the sum of its proper divisors (91188906).

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

48564864 is a wasteful number, since it uses less digits than its factorization.

48564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42177 (or 42162 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 48564864 is about 6968.8495463742. The cubic root of 48564864 is about 364.8441543969.

The spelling of 48564864 in words is "forty-eight million, five hundred sixty-four thousand, eight hundred sixty-four".