56038944 has 96 divisors (see below), whose sum is σ = 160622784. Its totient is φ = 17003520.

The previous prime is 56038921. The next prime is 56038981. The reversal of 56038944 is 44983065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 103314 + ... + 103854.

It is an arithmetic number, because the mean of its divisors is an integer number (1673154).

Almost surely, 2^56038944 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 56038944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80311392).

56038944 is an abundant number, since it is smaller than the sum of its proper divisors (104583840).

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

56038944 is a wasteful number, since it uses less digits than its factorization.

56038944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 56038944 is about 7485.9163767704. The cubic root of 56038944 is about 382.6749031372.

The spelling of 56038944 in words is "fifty-six million, thirty-eight thousand, nine hundred forty-four".