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56809296 = 24331071229
BaseRepresentation
bin1101100010110…
…1011101010000
310221220012201000
43120231131100
5104020344141
65345342000
71256604525
oct330553520
9127805630
1056809296
112a081735
1217037900
13ba0088b
14778b14c
154ec25b6
hex362d750

56809296 has 80 divisors (see below), whose sum is σ = 164721600. Its totient is φ = 18744192.

The previous prime is 56809261. The next prime is 56809307. The reversal of 56809296 is 69290865.

56809296 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-2 number, since 2×568092962 = 6454592224031232, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 45610 + ... + 46838.

It is an arithmetic number, because the mean of its divisors is an integer number (2059020).

Almost surely, 256809296 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 56809296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82360800).

56809296 is an abundant number, since it is smaller than the sum of its proper divisors (107912304).

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

56809296 is a wasteful number, since it uses less digits than its factorization.

56809296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 56809296 is about 7537.1941729002. The cubic root of 56809296 is about 384.4204379360.

The spelling of 56809296 in words is "fifty-six million, eight hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1229 1284 1712 1926 2458 2568 2889 3687 3852 4916 5136 5778 7374 7704 9832 11061 11556 14748 15408 19664 22122 23112 29496 33183 44244 46224 58992 66366 88488 131503 132732 176976 263006 265464 394509 526012 530928 789018 1052024 1183527 1578036 2104048 2367054 3156072 3550581 4734108 6312144 7101162 9468216 14202324 18936432 28404648 56809296