56188416 has 80 divisors (see below), whose sum is σ = 151289424. Its totient is φ = 18530304.

The previous prime is 56188403. The next prime is 56188423. The reversal of 56188416 is 61488165.

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, 241036 + ... + 241268.

Almost surely, 2^56188416 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 56188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75644712).

56188416 is an abundant number, since it is smaller than the sum of its proper divisors (95101008).

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

56188416 is a wasteful number, since it uses less digits than its factorization.

56188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 56188416 is about 7495.8932756543. The cubic root of 56188416 is about 383.0148358025.

The spelling of 56188416 in words is "fifty-six million, one hundred eighty-eight thousand, four hundred sixteen".