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204056352 = 25321989419
BaseRepresentation
bin11000010100110…
…10011100100000
3112012222010200200
430022122130200
5404214300402
632125345200
75025310323
oct1412323440
9465863620
10204056352
11a5203615
1258408200
1333377706
141d15a7ba
1512dab21c
hexc29a720

204056352 has 144 divisors (see below), whose sum is σ = 619164000. Its totient is φ = 63562752.

The previous prime is 204056329. The next prime is 204056357. The reversal of 204056352 is 253650402.

204056352 is a `hidden beast` number, since 20 + 4 + 0 + 5 + 635 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (204056357) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 486799 + ... + 487217.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2204056352 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 204056352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309582000).

204056352 is an abundant number, since it is smaller than the sum of its proper divisors (415107648).

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

204056352 is a wasteful number, since it uses less digits than its factorization.

204056352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 204056352 is about 14284.8294354535. The cubic root of 204056352 is about 588.7307311097.

The spelling of 204056352 in words is "two hundred four million, fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 89 96 114 144 152 171 178 228 267 288 304 342 356 419 456 534 608 684 712 801 838 912 1068 1257 1368 1424 1602 1676 1691 1824 2136 2514 2736 2848 3204 3352 3382 3771 4272 5028 5073 5472 6408 6704 6764 7542 7961 8544 10056 10146 12816 13408 13528 15084 15219 15922 20112 20292 23883 25632 27056 30168 30438 31844 37291 40224 40584 47766 54112 60336 60876 63688 71649 74582 81168 95532 111873 120672 121752 127376 143298 149164 162336 191064 223746 243504 254752 286596 298328 335619 382128 447492 487008 573192 596656 671238 708529 764256 894984 1146384 1193312 1342476 1417058 1789968 2125587 2292768 2684952 2834116 3579936 4251174 5369904 5668232 6376761 8502348 10739808 11336464 12753522 17004696 22672928 25507044 34009392 51014088 68018784 102028176 204056352