56438016 has 72 divisors (see below), whose sum is σ = 153790560. Its totient is φ = 18364416.

The previous prime is 56438009. The next prime is 56438029. The reversal of 56438016 is 61083465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32170 + ... + 33878.

It is an arithmetic number, because the mean of its divisors is an integer number (2135980).

Almost surely, 2^56438016 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 56438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76895280).

56438016 is an abundant number, since it is smaller than the sum of its proper divisors (97352544).

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

56438016 is a wasteful number, since it uses less digits than its factorization.

56438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 56438016 is about 7512.5239433895. The cubic root of 56438016 is about 383.5811405048.

The spelling of 56438016 in words is "fifty-six million, four hundred thirty-eight thousand, sixteen".