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87296256 = 283237889
BaseRepresentation
bin1010011010000…
…00100100000000
320002021002221200
411031000210000
5134321440011
612355021200
72110002015
oct515004400
9202232850
1087296256
1145304a73
122529a800
13151163b8
14b84570c
1579e5856
hex5340900

87296256 has 54 divisors (see below), whose sum is σ = 251703270. Its totient is φ = 29097984.

The previous prime is 87296233. The next prime is 87296281. The reversal of 87296256 is 65269278.

It can be written as a sum of positive squares in only one way, i.e., 64256256 + 23040000 = 8016^2 + 4800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16641 + ... + 21248.

Almost surely, 287296256 is an apocalyptic number.

It is an amenable number.

87296256 is an abundant number, since it is smaller than the sum of its proper divisors (164407014).

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

87296256 is a wasteful number, since it uses less digits than its factorization.

87296256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37911 (or 37894 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 87296256 is about 9343.2465449650. The cubic root of 87296256 is about 443.6071519046.

The spelling of 87296256 in words is "eighty-seven million, two hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 37889 75778 113667 151556 227334 303112 341001 454668 606224 682002 909336 1212448 1364004 1818672 2424896 2728008 3637344 4849792 5456016 7274688 9699584 10912032 14549376 21824064 29098752 43648128 87296256