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56811008 = 291761107
BaseRepresentation
bin1101100010110…
…1111000000000
310221220022001102
43120231320000
5104020423013
65345353532
71256612522
oct330557000
9127808042
1056811008
112a082a51
12170388a8
13ba015a7
14778ba12
154ec2d58
hex362de00

56811008 has 80 divisors (see below), whose sum is σ = 123300144. Its totient is φ = 26050560.

The previous prime is 56810981. The next prime is 56811011. The reversal of 56811008 is 80011865.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530891 + ... + 530997.

Almost surely, 256811008 is an apocalyptic number.

56811008 is the 4352-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56811008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61650072).

56811008 is an abundant number, since it is smaller than the sum of its proper divisors (66489136).

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

56811008 is a wasteful number, since it uses less digits than its factorization.

56811008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 56811008 is about 7537.3077421583. The cubic root of 56811008 is about 384.4242995175.

The spelling of 56811008 in words is "fifty-six million, eight hundred eleven thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 107 122 128 136 214 244 256 272 428 488 512 544 856 976 1037 1088 1712 1819 1952 2074 2176 3424 3638 3904 4148 4352 6527 6848 7276 7808 8296 8704 13054 13696 14552 15616 16592 26108 27392 29104 31232 33184 52216 54784 58208 66368 104432 110959 116416 132736 208864 221918 232832 265472 417728 443836 465664 530944 835456 887672 931328 1670912 1775344 3341824 3550688 7101376 14202752 28405504 56811008