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255850272 = 25331717419
BaseRepresentation
bin11110011111111…
…11011100100000
3122211102112121000
433033333130200
51010444202042
641215432000
76224456106
oct1717773440
9584375530
10255850272
1112146a107
1271825600
13410104c2
1425d9dc76
15176dc74c
hexf3ff720

255850272 has 96 divisors (see below), whose sum is σ = 790171200. Its totient is φ = 80262144.

The previous prime is 255850253. The next prime is 255850297. The reversal of 255850272 is 272058552.

255850272 is a `hidden beast` number, since 2 + 5 + 585 + 0 + 2 + 72 = 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5979 + ... + 23397.

It is an arithmetic number, because the mean of its divisors is an integer number (8230950).

Almost surely, 2255850272 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 255850272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395085600).

255850272 is an abundant number, since it is smaller than the sum of its proper divisors (534320928).

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

255850272 is a wasteful number, since it uses less digits than its factorization.

255850272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17455 (or 17441 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 255850272 is about 15995.3203156423. The cubic root of 255850272 is about 634.8366058200.

The spelling of 255850272 in words is "two hundred fifty-five million, eight hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 17419 34838 52257 69676 104514 139352 156771 209028 278704 296123 313542 418056 470313 557408 592246 627084 836112 888369 940626 1184492 1254168 1672224 1776738 1881252 2368984 2508336 2665107 3553476 3762504 4737968 5016672 5330214 7106952 7525008 7995321 9475936 10660428 14213904 15050016 15990642 21320856 28427808 31981284 42641712 63962568 85283424 127925136 255850272