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87329025 = 325272892
BaseRepresentation
bin1010011010010…
…00100100000001
320002022202220100
411031020210001
5134324012100
612355433013
72110166400
oct515104401
9202282810
1087329025
1145327653
12252b5769
13151282a4
14b853637
157a00400
hex5348901

87329025 has 81 divisors (see below), whose sum is σ = 184020681. Its totient is φ = 39473280.

The previous prime is 87328987. The next prime is 87329041. The reversal of 87329025 is 52092378.

It is a happy number.

The square root of 87329025 is 9345.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18173169 + 69155856 = 4263^2 + 8316^2 .

It is not a de Polignac number, because 87329025 - 27 = 87328897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 981181 + ... + 981269.

Almost surely, 287329025 is an apocalyptic number.

87329025 is the 9345-th square number.

87329025 is the 4673-rd centered octagonal number.

It is an amenable number.

87329025 is an abundant number, since it is smaller than the sum of its proper divisors (96691656).

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

87329025 is a wasteful number, since it uses less digits than its factorization.

87329025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 87329025 is about 443.6626515900.

Multiplying 87329025 by its sum of digits (36), we get a square (3143844900 = 560702).

The spelling of 87329025 in words is "eighty-seven million, three hundred twenty-nine thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 89 105 147 175 225 245 267 315 441 445 525 623 735 801 1225 1335 1575 1869 2205 2225 3115 3675 4005 4361 5607 6675 7921 9345 11025 13083 15575 20025 21805 23763 28035 39249 39605 46725 55447 65415 71289 109025 118815 140175 166341 196245 198025 277235 327075 356445 388129 499023 594075 831705 981225 1164387 1386175 1782225 1940645 2495115 3493161 4158525 5821935 9703225 12475575 17465805 29109675 87329025