56193984 has 252 divisors, whose sum is σ = 205529688. Its totient is φ = 14515200.

The previous prime is 56193983. The next prime is 56194003. The reversal of 56193984 is 48939165.

It is a happy number.

56193984 is a `hidden beast` number, since 561 + 9 + 3 + 9 + 84 = 666.

56193984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56193983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310374 + ... + 310554.

It is an arithmetic number, because the mean of its divisors is an integer number (815594).

Almost surely, 2^56193984 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 56193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102764844).

56193984 is an abundant number, since it is smaller than the sum of its proper divisors (149335704).

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

56193984 is a wasteful number, since it uses less digits than its factorization.

56193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 56193984 is about 7496.2646698206. The cubic root of 56193984 is about 383.0274870233.

The spelling of 56193984 in words is "fifty-six million, one hundred ninety-three thousand, nine hundred eighty-four".