56383200 has 216 divisors, whose sum is σ = 204736896. Its totient is φ = 14592000.

The previous prime is 56383199. The next prime is 56383219. The reversal of 56383200 is 238365.

56383200 is a `hidden beast` number, since 5 + 638 + 3 + 20 + 0 = 666.

56383200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 295105 + ... + 295295.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^56383200 is an apocalyptic number.

56383200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

56383200 is an abundant number, since it is smaller than the sum of its proper divisors (148353696).

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

56383200 is a wasteful number, since it uses less digits than its factorization.

56383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56383200 is about 7508.8747492550. The cubic root of 56383200 is about 383.4569145762.

The spelling of 56383200 in words is "fifty-six million, three hundred eighty-three thousand, two hundred".