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56438368 = 2571714821
BaseRepresentation
bin1101011101001…
…0111001100000
310221012100212221
43113102321200
5103422011433
65333400424
71253501230
oct327227140
9127170787
1056438368
1129948a88
1216a99114
13b900aac
1476d1cc0
154e4c72d
hex35d2e60

56438368 has 48 divisors (see below), whose sum is σ = 134465184. Its totient is φ = 22763520.

The previous prime is 56438353. The next prime is 56438381. The reversal of 56438368 is 86383465.

56438368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3603 + ... + 11218.

It is an arithmetic number, because the mean of its divisors is an integer number (2801358).

Almost surely, 256438368 is an apocalyptic number.

It is an amenable number.

56438368 is an abundant number, since it is smaller than the sum of its proper divisors (78026816).

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

56438368 is a wasteful number, since it uses less digits than its factorization.

56438368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855 (or 14847 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 56438368 is about 7512.5473708989. The cubic root of 56438368 is about 383.5819379595.

The spelling of 56438368 in words is "fifty-six million, four hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 14821 29642 59284 103747 118568 207494 237136 251957 414988 474272 503914 829976 1007828 1659952 1763699 2015656 3319904 3527398 4031312 7054796 8062624 14109592 28219184 56438368