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86252904 = 23331972027
BaseRepresentation
bin1010010010000…
…01110101101000
320000022002202000
411021001311220
5134040043104
612320411000
72065065123
oct511016550
9200262660
1086252904
11447620a1
1224a76a60
1314b3c52a
14b6533ba
15788b639
hex5241d68

86252904 has 64 divisors (see below), whose sum is σ = 240926400. Its totient is φ = 28590912.

The previous prime is 86252863. The next prime is 86252977. The reversal of 86252904 is 40925268.

It is a happy number.

86252904 is a `hidden beast` number, since 8 + 625 + 29 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41539 + ... + 43565.

It is an arithmetic number, because the mean of its divisors is an integer number (3764475).

Almost surely, 286252904 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 86252904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120463200).

86252904 is an abundant number, since it is smaller than the sum of its proper divisors (154673496).

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

86252904 is a wasteful number, since it uses less digits than its factorization.

86252904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86252904 is about 9287.2441552917. The cubic root of 86252904 is about 441.8327547811.

The spelling of 86252904 in words is "eighty-six million, two hundred fifty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 591 788 1182 1576 1773 2027 2364 3546 4054 4728 5319 6081 7092 8108 10638 12162 14184 16216 18243 21276 24324 36486 42552 48648 54729 72972 109458 145944 218916 399319 437832 798638 1197957 1597276 2395914 3194552 3593871 4791828 7187742 9583656 10781613 14375484 21563226 28750968 43126452 86252904