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56563800 = 2335294273
BaseRepresentation
bin1101011111000…
…1100001011000
310221102201221120
43113301201120
5103440020200
65340205240
71254533016
oct327614130
9127381846
1056563800
1129a24247
1216b39820
13b945c07
1477258b6
154e749a0
hex35f1858

56563800 has 48 divisors (see below), whose sum is σ = 175349640. Its totient is φ = 15083520.

The previous prime is 56563781. The next prime is 56563807. The reversal of 56563800 is 836565.

56563800 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 not an unprimeable number, because it can be changed into a prime (56563807) 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, 46537 + ... + 47736.

Almost surely, 256563800 is an apocalyptic number.

56563800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56563800 is an abundant number, since it is smaller than the sum of its proper divisors (118785840).

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

56563800 is a wasteful number, since it uses less digits than its factorization.

56563800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94292 (or 94283 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56563800 is about 7520.8909046735. The cubic root of 56563800 is about 383.8658928404.

The spelling of 56563800 in words is "fifty-six million, five hundred sixty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 94273 188546 282819 377092 471365 565638 754184 942730 1131276 1414095 1885460 2262552 2356825 2828190 3770920 4713650 5656380 7070475 9427300 11312760 14140950 18854600 28281900 56563800