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204286656 = 2637971567
BaseRepresentation
bin11000010110100…
…10101011000000
3112020101211121110
430023102223000
5404244133111
632134323320
75030256630
oct1413225300
9466354543
10204286656
11a5350652
12584b9540
13334284a2
141d1ba6c0
1512e045a6
hexc2d2ac0

204286656 has 112 divisors (see below), whose sum is σ = 624490496. Its totient is φ = 57729024.

The previous prime is 204286639. The next prime is 204286681. The reversal of 204286656 is 656682402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129585 + ... + 131151.

It is an arithmetic number, because the mean of its divisors is an integer number (5575808).

Almost surely, 2204286656 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 204286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312245248).

204286656 is an abundant number, since it is smaller than the sum of its proper divisors (420203840).

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

204286656 is a wasteful number, since it uses less digits than its factorization.

204286656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 204286656 is about 14292.8883015295. Note that the first 3 decimals coincide. The cubic root of 204286656 is about 588.9521341090.

The spelling of 204286656 in words is "two hundred four million, two hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 448 582 672 679 776 1164 1344 1358 1552 1567 2037 2328 2716 3104 3134 4074 4656 4701 5432 6208 6268 8148 9312 9402 10864 10969 12536 16296 18624 18804 21728 21938 25072 32592 32907 37608 43456 43876 50144 65184 65814 75216 87752 100288 130368 131628 150432 151999 175504 263256 300864 303998 351008 455997 526512 607996 702016 911994 1053024 1063993 1215992 1823988 2106048 2127986 2431984 3191979 3647976 4255972 4863968 6383958 7295952 8511944 9727936 12767916 14591904 17023888 25535832 29183808 34047776 51071664 68095552 102143328 204286656