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56622852 = 2232111317647
BaseRepresentation
bin1101011111111…
…1111100000100
310221112201221200
43113333330010
5103443412402
65341342500
71255200126
oct327777404
9127481850
1056622852
1129a64650
1216b67a30
13b966a60
14773d216
154e8721c
hex35fff04

56622852 has 144 divisors (see below), whose sum is σ = 178319232. Its totient is φ = 14883840.

The previous prime is 56622851. The next prime is 56622889. The reversal of 56622852 is 25822665.

It is a super-2 number, since 2×566228522 = 6412294737227808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (56622851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87193 + ... + 87839.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 256622852 is an apocalyptic number.

56622852 is a gapful number since it is divisible by the number (52) 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 56622852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616).

56622852 is an abundant number, since it is smaller than the sum of its proper divisors (121696380).

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

56622852 is a wasteful number, since it uses less digits than its factorization.

56622852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 693 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 56622852 is about 7524.8157452525. The cubic root of 56622852 is about 383.9994303377. Note that the first 3 decimals are identical.

The spelling of 56622852 in words is "fifty-six million, six hundred twenty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 647 663 748 858 884 1122 1287 1294 1326 1683 1716 1941 1989 2244 2431 2574 2588 2652 3366 3882 3978 4862 5148 5823 6732 7117 7293 7764 7956 8411 9724 10999 11646 14234 14586 16822 21351 21879 21998 23292 25233 28468 29172 32997 33644 42702 43758 43996 50466 64053 65994 75699 85404 87516 92521 98991 100932 120989 128106 131988 142987 151398 185042 197982 241978 256212 277563 285974 302796 362967 370084 395964 428961 483956 555126 571948 725934 832689 857922 1088901 1110252 1286883 1451868 1572857 1665378 1715844 2177802 2573766 3145714 3330756 4355604 4718571 5147532 6291428 9437142 14155713 18874284 28311426 56622852