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86018304 = 283313613
BaseRepresentation
bin1010010000010…
…00100100000000
312222212011221010
411020020210000
5134010041204
612311400520
72063100141
oct510104400
9188764833
1086018304
1144611909
1224983140
1314a89808
14b5d1ac8
157841d89
hex5208900

86018304 has 72 divisors (see below), whose sum is σ = 236384512. Its totient is φ = 27740160.

The previous prime is 86018237. The next prime is 86018371. The reversal of 86018304 is 40381068.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86018237) and next prime (86018371).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22002 + ... + 25614.

Almost surely, 286018304 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 86018304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118192256).

86018304 is an abundant number, since it is smaller than the sum of its proper divisors (150366208).

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

86018304 is a wasteful number, since it uses less digits than its factorization.

86018304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86018304 is about 9274.6053285302. The cubic root of 86018304 is about 441.4318095060.

The spelling of 86018304 in words is "eighty-six million, eighteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3613 3968 5952 7226 7936 10839 11904 14452 21678 23808 28904 43356 57808 86712 112003 115616 173424 224006 231232 336009 346848 448012 462464 672018 693696 896024 924928 1344036 1387392 1792048 2688072 2774784 3584096 5376144 7168192 10752288 14336384 21504576 28672768 43009152 86018304