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56359044 = 22337127587
BaseRepresentation
bin1101011011111…
…1100010000100
310221001100002000
43112333202010
5103411442134
65331545300
71253021040
oct326774204
9127040060
1056359044
11298a4425
1216a5b230
13b8a3961
1476b1020
154e33e99
hex35bf884

56359044 has 96 divisors (see below), whose sum is σ = 168591360. Its totient is φ = 15948576.

The previous prime is 56359033. The next prime is 56359091. The reversal of 56359044 is 44095365.

It is a happy number.

56359044 is a `hidden beast` number, since 5 + 63 + 590 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95719 + ... + 96305.

It is an arithmetic number, because the mean of its divisors is an integer number (1756160).

Almost surely, 256359044 is an apocalyptic number.

56359044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56359044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84295680).

56359044 is an abundant number, since it is smaller than the sum of its proper divisors (112232316).

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

56359044 is a wasteful number, since it uses less digits than its factorization.

56359044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56359044 is about 7507.2660802718. The cubic root of 56359044 is about 383.4021458487.

The spelling of 56359044 in words is "fifty-six million, three hundred fifty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 127 189 252 254 378 381 508 587 756 762 889 1143 1174 1524 1761 1778 2286 2348 2667 3429 3522 3556 4109 4572 5283 5334 6858 7044 8001 8218 10566 10668 12327 13716 15849 16002 16436 21132 24003 24654 31698 32004 36981 48006 49308 63396 73962 74549 96012 110943 147924 149098 221886 223647 298196 443772 447294 521843 670941 894588 1043686 1341882 1565529 2012823 2087372 2683764 3131058 4025646 4696587 6262116 8051292 9393174 14089761 18786348 28179522 56359044