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56389200 = 2435273137
BaseRepresentation
bin1101011100011…
…0111001010000
310221002212102220
43113012321100
5103413423300
65332341040
71253205000
oct327067120
9127085386
1056389200
112991504a
1216a74780
13b8b45ba
1476bc000
154e3cda0
hex35c6e50

56389200 has 240 divisors, whose sum is σ = 212188800. Its totient is φ = 12794880.

The previous prime is 56389181. The next prime is 56389213. The reversal of 56389200 is 298365.

It is a happy number.

56389200 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 (240).

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 47 ways as a sum of consecutive naturals, for example, 411532 + ... + 411668.

It is an arithmetic number, because the mean of its divisors is an integer number (884120).

Almost surely, 256389200 is an apocalyptic number.

56389200 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 56389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106094400).

56389200 is an abundant number, since it is smaller than the sum of its proper divisors (155799600).

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

56389200 is a wasteful number, since it uses less digits than its factorization.

56389200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 56389200 is about 7509.2742658662. The cubic root of 56389200 is about 383.4705159083.

The spelling of 56389200 in words is "fifty-six million, three hundred eighty-nine thousand, two hundred".