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86253504 = 2634110957
BaseRepresentation
bin1010010010000…
…01111111000000
320000022010120020
411021001333000
5134040103004
612320413440
72065066641
oct511017700
9200263506
1086253504
1144762597
1224a77280
1314b3c89c
14b6536c8
15788b8d9
hex5241fc0

86253504 has 56 divisors (see below), whose sum is σ = 233799888. Its totient is φ = 28047360.

The previous prime is 86253493. The next prime is 86253527. The reversal of 86253504 is 40535268.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2394 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (4174998).

Almost surely, 286253504 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 86253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116899944).

86253504 is an abundant number, since it is smaller than the sum of its proper divisors (147546384).

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

86253504 is a wasteful number, since it uses less digits than its factorization.

86253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 86253504 is about 9287.2764576059. The cubic root of 86253504 is about 441.8337792840.

The spelling of 86253504 in words is "eighty-six million, two hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 10957 21914 32871 43828 65742 87656 131484 175312 262968 350624 449237 525936 701248 898474 1051872 1347711 1796948 2103744 2695422 3593896 5390844 7187792 10781688 14375584 21563376 28751168 43126752 86253504