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87459904 = 26721672
BaseRepresentation
bin1010011011010…
…00100001000000
320002120102102201
411031220201000
5134342204104
612402322544
72111253100
oct515504100
9202512381
1087459904
1145406a14
1225359454
1315172a2c
14b889200
157a290a4
hex5368840

87459904 has 63 divisors (see below), whose sum is σ = 203104623. Its totient is φ = 37258368.

The previous prime is 87459901. The next prime is 87459919. The reversal of 87459904 is 40995478.

The square root of 87459904 is 9352.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87459901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 523629 + ... + 523795.

Almost surely, 287459904 is an apocalyptic number.

87459904 is the 9352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87459904

87459904 is an abundant number, since it is smaller than the sum of its proper divisors (115644719).

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

87459904 is an equidigital number, since it uses as much as digits as its factorization.

87459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The cubic root of 87459904 is about 443.8841783223.

The spelling of 87459904 in words is "eighty-seven million, four hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 167 196 224 334 392 448 668 784 1169 1336 1568 2338 2672 3136 4676 5344 8183 9352 10688 16366 18704 27889 32732 37408 55778 65464 74816 111556 130928 195223 223112 261856 390446 446224 523712 780892 892448 1366561 1561784 1784896 2733122 3123568 5466244 6247136 10932488 12494272 21864976 43729952 87459904