48364704 has 72 divisors (see below), whose sum is σ = 139842612. Its totient is φ = 15851520.

The previous prime is 48364649. The next prime is 48364741. The reversal of 48364704 is 40746384.

48364704 is a `hidden beast` number, since 4 + 8 + 3 + 647 + 0 + 4 = 666.

48364704 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 2 ways, for example, as 48274704 + 90000 = 6948^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 16192 + ... + 18944.

Almost surely, 2^48364704 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 48364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69921306).

48364704 is an abundant number, since it is smaller than the sum of its proper divisors (91477908).

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

48364704 is a wasteful number, since it uses less digits than its factorization.

48364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 48364704 is about 6954.4736680787. The cubic root of 48364704 is about 364.3422293600.

The spelling of 48364704 in words is "forty-eight million, three hundred sixty-four thousand, seven hundred four".