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255831264 = 25331322777
BaseRepresentation
bin11110011111110…
…10110011100000
3122211101120112000
433033322303200
51010443100024
641215204000
76224346513
oct1717726340
9584346460
10255831264
111214568a7
1271816600
1341004960
1425d96d7a
15176d6cc9
hexf3face0

255831264 has 96 divisors (see below), whose sum is σ = 803607840. Its totient is φ = 78713856.

The previous prime is 255831263. The next prime is 255831269. The reversal of 255831264 is 462138552.

255831264 is a `hidden beast` number, since 2 + 5 + 583 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (255831263) 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 15 ways as a sum of consecutive naturals, for example, 157 + ... + 22620.

It is an arithmetic number, because the mean of its divisors is an integer number (8370915).

Almost surely, 2255831264 is an apocalyptic number.

255831264 is a gapful number since it is divisible by the number (24) 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 255831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401803920).

255831264 is an abundant number, since it is smaller than the sum of its proper divisors (547776576).

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

255831264 is a wasteful number, since it uses less digits than its factorization.

255831264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22809 (or 22795 counting only the distinct ones).

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

The square root of 255831264 is about 15994.7261308220. The cubic root of 255831264 is about 634.8208840296.

The spelling of 255831264 in words is "two hundred fifty-five million, eight hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 22777 45554 68331 91108 136662 182216 204993 273324 296101 364432 409986 546648 592202 614979 728864 819972 888303 1093296 1184404 1229958 1639944 1776606 2186592 2368808 2459916 2664909 3279888 3553212 4737616 4919832 5329818 6559776 7106424 7994727 9475232 9839664 10659636 14212848 15989454 19679328 21319272 28425696 31978908 42638544 63957816 85277088 127915632 255831264