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87319296 = 28344211
BaseRepresentation
bin1010011010001…
…10001100000000
320002022021120000
411031012030000
5134323204141
612355320000
72110126131
oct515061400
9202267500
1087319296
1145320309
12252b0000
1315123a2c
14b84dc88
1579ec5b6
hex5346300

87319296 has 90 divisors (see below), whose sum is σ = 260432172. Its totient is φ = 29099520.

The previous prime is 87319289. The next prime is 87319321. The reversal of 87319296 is 69291378.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18631 + ... + 22841.

Almost surely, 287319296 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 87319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130216086).

87319296 is an abundant number, since it is smaller than the sum of its proper divisors (173112876).

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

87319296 is an equidigital number, since it uses as much as digits as its factorization.

87319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4216 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 87319296 is about 9344.4794397548. The cubic root of 87319296 is about 443.6461753793.

The spelling of 87319296 in words is "eighty-seven million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 4211 5184 6912 8422 10368 12633 16844 20736 25266 33688 37899 50532 67376 75798 101064 113697 134752 151596 202128 227394 269504 303192 341091 404256 454788 539008 606384 682182 808512 909576 1078016 1212768 1364364 1617024 1819152 2425536 2728728 3234048 3638304 4851072 5457456 7276608 9702144 10914912 14553216 21829824 29106432 43659648 87319296