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256055008 = 25113112339
BaseRepresentation
bin11110100001100…
…01011011100000
3122211210221102211
433100301123200
51011022230013
641224051504
76226301026
oct1720613340
9584727384
10256055008
11121599a10
1271903b94
1341082751
1426014716
151772d23d
hexf4316e0

256055008 has 48 divisors (see below), whose sum is σ = 551940480. Its totient is φ = 115964800.

The previous prime is 256054993. The next prime is 256055017. The reversal of 256055008 is 800550652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108303 + ... + 110641.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2256055008 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 256055008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275970240).

256055008 is an abundant number, since it is smaller than the sum of its proper divisors (295885472).

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

256055008 is a wasteful number, since it uses less digits than its factorization.

256055008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 256055008 is about 16001.7189076674. The cubic root of 256055008 is about 635.0058965704.

The spelling of 256055008 in words is "two hundred fifty-six million, fifty-five thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 311 352 622 1244 2339 2488 3421 4678 4976 6842 9356 9952 13684 18712 25729 27368 37424 51458 54736 74848 102916 109472 205832 411664 727429 823328 1454858 2909716 5819432 8001719 11638864 16003438 23277728 32006876 64013752 128027504 256055008