56936448 has 72 divisors (see below), whose sum is σ = 164496150. Its totient is φ = 18972672.

The previous prime is 56936441. The next prime is 56936449. The reversal of 56936448 is 84463965.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 20358144 = 6048^2 + 4512^2 .

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

It is a super-2 number, since 2×56936448² = 6483518221713408, which contains 22 as substring.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (56936441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16888 + ... + 19976.

Almost surely, 2^56936448 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 56936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82248075).

56936448 is an abundant number, since it is smaller than the sum of its proper divisors (107559702).

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

56936448 is a wasteful number, since it uses less digits than its factorization.

56936448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3094 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 56936448 is about 7545.6244274414. The cubic root of 56936448 is about 384.7070307311.

The spelling of 56936448 in words is "fifty-six million, nine hundred thirty-six thousand, four hundred forty-eight".