48164256 has 108 divisors (see below), whose sum is σ = 159375762. Its totient is φ = 13757184.

The previous prime is 48164239. The next prime is 48164261. The reversal of 48164256 is 65246184.

48164256 is a `hidden beast` number, since 4 + 8 + 1 + 642 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 18352656 = 5460^2 + 4284^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 48164256.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12406 + ... + 15818.

Almost surely, 2^48164256 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 48164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79687881).

48164256 is an abundant number, since it is smaller than the sum of its proper divisors (111211506).

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

48164256 is a wasteful number, since it uses less digits than its factorization.

48164256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3425 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 48164256 is about 6940.0472620869. The cubic root of 48164256 is about 363.8381923827.

The spelling of 48164256 in words is "forty-eight million, one hundred sixty-four thousand, two hundred fifty-six".