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255688992 = 253213312203
BaseRepresentation
bin11110011110110…
…00000100100000
3122211010100100200
433033120010200
51010424021432
641212145200
76223214646
oct1717300440
9584110320
10255688992
11121369a19
1271768200
1340c84c80
1425d5b196
15176a9a7c
hexf3d8120

255688992 has 144 divisors (see below), whose sum is σ = 808674048. Its totient is φ = 76101120.

The previous prime is 255688967. The next prime is 255689009. The reversal of 255688992 is 299886552.

255688992 is a `hidden beast` number, since 2 + 556 + 8 + 89 + 9 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114963 + ... + 117165.

It is an arithmetic number, because the mean of its divisors is an integer number (5615792).

Almost surely, 2255688992 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 255688992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404337024).

255688992 is an abundant number, since it is smaller than the sum of its proper divisors (552985056).

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

255688992 is a wasteful number, since it uses less digits than its factorization.

255688992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2252 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 255688992 is about 15990.2780463630. The cubic root of 255688992 is about 634.7031840753.

The spelling of 255688992 in words is "two hundred fifty-five million, six hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2203 2232 2418 2976 3224 3627 3744 4406 4464 4836 6448 6609 7254 8812 8928 9672 12896 13218 14508 17624 19344 19827 26436 28639 29016 35248 38688 39654 52872 57278 58032 68293 70496 79308 85917 105744 114556 116064 136586 158616 171834 204879 211488 229112 257751 273172 317232 343668 409758 458224 515502 546344 614637 634464 687336 819516 887809 916448 1031004 1092688 1229274 1374672 1639032 1775618 2062008 2185376 2458548 2663427 2749344 3278064 3551236 4124016 4917096 5326854 6556128 7102472 7990281 8248032 9834192 10653708 14204944 15980562 19668384 21307416 28409888 31961124 42614832 63922248 85229664 127844496 255688992