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56379336 = 233131371319
BaseRepresentation
bin1101011100010…
…0011111001000
310221002100220120
43113010133020
5103413114321
65332223240
71253134146
oct327043710
9127070816
1056379336
11299086a2
1216a6ab20
13b8acc70
1476b8596
154e39ec6
hex35c47c8

56379336 has 64 divisors (see below), whose sum is σ = 153014400. Its totient is φ = 17207808.

The previous prime is 56379319. The next prime is 56379391. The reversal of 56379336 is 63397365.

56379336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 42085 + ... + 43403.

It is an arithmetic number, because the mean of its divisors is an integer number (2390850).

Almost surely, 256379336 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 56379336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76507200).

56379336 is an abundant number, since it is smaller than the sum of its proper divisors (96635064).

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

56379336 is a wasteful number, since it uses less digits than its factorization.

56379336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1474 counting only the distinct ones).

The product of its digits is 306180, while the sum is 42.

The square root of 56379336 is about 7508.6174493045. The cubic root of 56379336 is about 383.4481548075.

The spelling of 56379336 in words is "fifty-six million, three hundred seventy-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1319 1644 1781 2638 3288 3562 3957 5276 5343 7124 7914 10552 10686 14248 15828 17147 21372 31656 34294 42744 51441 68588 102882 137176 180703 205764 361406 411528 542109 722812 1084218 1445624 2168436 2349139 4336872 4698278 7047417 9396556 14094834 18793112 28189668 56379336