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56399168 = 267312131
BaseRepresentation
bin1101011100100…
…1010101000000
310221010101010002
43113021111000
5103414233133
65332455132
71253246030
oct327112500
9127111102
1056399168
1129921591
1216a7a4a8
13b8b8cb7
1476c18c0
154e40ce8
hex35c9540

56399168 has 84 divisors (see below), whose sum is σ = 133173216. Its totient is φ = 23212800.

The previous prime is 56399159. The next prime is 56399173. The reversal of 56399168 is 86199365.

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 11 ways as a sum of consecutive naturals, for example, 430463 + ... + 430593.

Almost surely, 256399168 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 56399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66586608).

56399168 is an abundant number, since it is smaller than the sum of its proper divisors (76774048).

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

56399168 is a wasteful number, since it uses less digits than its factorization.

56399168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 171 counting only the distinct ones).

The product of its digits is 349920, while the sum is 47.

The square root of 56399168 is about 7509.9379491445. The cubic root of 56399168 is about 383.4931101219.

The spelling of 56399168 in words is "fifty-six million, three hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 131 217 224 248 262 434 448 496 524 868 917 961 992 1048 1736 1834 1922 1984 2096 3472 3668 3844 4061 4192 6727 6944 7336 7688 8122 8384 13454 13888 14672 15376 16244 26908 28427 29344 30752 32488 53816 56854 58688 61504 64976 107632 113708 125891 129952 215264 227416 251782 259904 430528 454832 503564 881237 909664 1007128 1762474 1819328 2014256 3524948 4028512 7049896 8057024 14099792 28199584 56399168