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56563344 = 24323112671
BaseRepresentation
bin1101011111000…
…1011010010000
310221102201022200
43113301122100
5103440011334
65340203200
71254531465
oct327613220
9127381280
1056563344
1129a23972
1216b39500
13b945946
14772566c
154e74799
hex35f1690

56563344 has 60 divisors (see below), whose sum is σ = 163418112. Its totient is φ = 18244800.

The previous prime is 56563277. The next prime is 56563373. The reversal of 56563344 is 44336565.

56563344 is a `hidden beast` number, since 56 + 563 + 3 + 44 = 666.

56563344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56563299 and 56563308.

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 11 ways as a sum of consecutive naturals, for example, 1872 + ... + 10799.

Almost surely, 256563344 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 56563344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81709056).

56563344 is an abundant number, since it is smaller than the sum of its proper divisors (106854768).

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

56563344 is a wasteful number, since it uses less digits than its factorization.

56563344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716 (or 12707 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 56563344 is about 7520.8605890550. The cubic root of 56563344 is about 383.8648613012.

The spelling of 56563344 in words is "fifty-six million, five hundred sixty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 12671 25342 38013 50684 76026 101368 114039 152052 202736 228078 304104 392801 456156 608208 785602 912312 1178403 1571204 1824624 2356806 3142408 3535209 4713612 6284816 7070418 9427224 14140836 18854448 28281672 56563344