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56425824 = 25327132153
BaseRepresentation
bin1101011100111…
…1110101100000
310221011201200100
43113033311200
5103421111244
65333222400
71253416530
oct327176540
9127151610
1056425824
112993a614
1216a91a00
13b8c8180
1476cb4c0
154e48b69
hex35cfd60

56425824 has 144 divisors (see below), whose sum is σ = 197582112. Its totient is φ = 14874624.

The previous prime is 56425823. The next prime is 56425841. The reversal of 56425824 is 42852465.

It is a happy number.

56425824 is a `hidden beast` number, since 5 + 642 + 5 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×564258242 = 6367747228157952, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56425823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25132 + ... + 27284.

It is an arithmetic number, because the mean of its divisors is an integer number (1372098).

Almost surely, 256425824 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 56425824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98791056).

56425824 is an abundant number, since it is smaller than the sum of its proper divisors (141156288).

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

56425824 is a wasteful number, since it uses less digits than its factorization.

56425824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2178 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 56425824 is about 7511.7124545605. The cubic root of 56425824 is about 383.5535175278.

The spelling of 56425824 in words is "fifty-six million, four hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2153 2184 2912 3276 3744 4306 4368 6459 6552 8612 8736 12918 13104 15071 17224 19377 25836 26208 27989 30142 34448 38754 45213 51672 55978 60284 68896 77508 83967 90426 103344 111956 120568 135639 155016 167934 180852 195923 206688 223912 241136 251901 271278 310032 335868 361704 391846 447824 482272 503802 542556 587769 620064 671736 723408 783692 895648 1007604 1085112 1175538 1343472 1446816 1567384 1763307 2015208 2170224 2351076 2686944 3134768 3526614 4030416 4340448 4702152 6269536 7053228 8060832 9404304 14106456 18808608 28212912 56425824