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56568900 = 22352188563
BaseRepresentation
bin1101011111001…
…0110001000100
310221102222221110
43113302301010
5103440201100
65340245020
71254553623
oct327626104
9127388843
1056568900
1129a28063
1216b40770
13b94832b
1477276ba
154e76250
hex35f2c44

56568900 has 36 divisors (see below), whose sum is σ = 163673552. Its totient is φ = 15084960.

The previous prime is 56568881. The next prime is 56568901. The reversal of 56568900 is 986565.

56568900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×565689003 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56568901) 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 11 ways as a sum of consecutive naturals, for example, 93982 + ... + 94581.

Almost surely, 256568900 is an apocalyptic number.

56568900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56568900 is an abundant number, since it is smaller than the sum of its proper divisors (107104652).

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

56568900 is a wasteful number, since it uses less digits than its factorization.

56568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188580 (or 188573 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 56568900 is about 7521.2299526075. The cubic root of 56568900 is about 383.8774294133.

The spelling of 56568900 in words is "fifty-six million, five hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 188563 377126 565689 754252 942815 1131378 1885630 2262756 2828445 3771260 4714075 5656890 9428150 11313780 14142225 18856300 28284450 56568900