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56440956 = 2231113311061
BaseRepresentation
bin1101011101001…
…1100001111100
310221012111102210
43113103201330
5103422102311
65333420420
71253511615
oct327234174
9127174383
1056440956
112994aa20
1216a9a710
13b902020
1476d2c0c
154e4d3a6
hex35d387c

56440956 has 96 divisors (see below), whose sum is σ = 159860736. Its totient is φ = 15264000.

The previous prime is 56440949. The next prime is 56440973. The reversal of 56440956 is 65904465.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 52666 + ... + 53726.

It is an arithmetic number, because the mean of its divisors is an integer number (1665216).

Almost surely, 256440956 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 56440956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79930368).

56440956 is an abundant number, since it is smaller than the sum of its proper divisors (103419780).

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

56440956 is a wasteful number, since it uses less digits than its factorization.

56440956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 56440956 is about 7512.7196140945. The cubic root of 56440956 is about 383.5878009620.

It can be divided in two parts, 564409 and 56, that added together give a palindrome (564465).

The spelling of 56440956 in words is "fifty-six million, four hundred forty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 124 132 143 156 186 286 341 372 403 429 572 682 806 858 1023 1061 1209 1364 1612 1716 2046 2122 2418 3183 4092 4244 4433 4836 6366 8866 11671 12732 13299 13793 17732 23342 26598 27586 32891 35013 41379 46684 53196 55172 65782 70026 82758 98673 131564 140052 151723 165516 197346 303446 361801 394692 427583 455169 606892 723602 855166 910338 1085403 1282749 1447204 1710332 1820676 2170806 2565498 4341612 4703413 5130996 9406826 14110239 18813652 28220478 56440956