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56356344 = 23331123719
BaseRepresentation
bin1101011011111…
…0110111111000
310221001012101000
43112332313320
5103411400334
65331525000
71253010132
oct326766770
9127035330
1056356344
11298a23a0
1216a59760
13b8a2665
1476b0052
154e33299
hex35bedf8

56356344 has 64 divisors (see below), whose sum is σ = 170784000. Its totient is φ = 17076960.

The previous prime is 56356327. The next prime is 56356351. The reversal of 56356344 is 44365365.

56356344 is a `hidden beast` number, since 56 + 3 + 563 + 44 = 666.

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 = 56356299 and 56356308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9484 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (2668500).

Almost surely, 256356344 is an apocalyptic number.

56356344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56356344 is an abundant number, since it is smaller than the sum of its proper divisors (114427656).

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

56356344 is a wasteful number, since it uses less digits than its factorization.

56356344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23745 (or 23735 counting only the distinct ones).

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

The square root of 56356344 is about 7507.0862523352. The cubic root of 56356344 is about 383.3960231856.

The spelling of 56356344 in words is "fifty-six million, three hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 23719 47438 71157 94876 142314 189752 213471 260909 284628 426942 521818 569256 640413 782727 853884 1043636 1280826 1565454 1707768 2087272 2348181 2561652 3130908 4696362 5123304 6261816 7044543 9392724 14089086 18785448 28178172 56356344