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86260752 = 24324313931
BaseRepresentation
bin1010010010000…
…11110000010000
320000022111111200
411021003300100
5134040321002
612320511200
72065130034
oct511036020
9200274450
1086260752
1144767a86
1224a7b500
1314b42c86
14b6561c4
15788db1c
hex5243c10

86260752 has 60 divisors (see below), whose sum is σ = 247042224. Its totient is φ = 28082880.

The previous prime is 86260751. The next prime is 86260753. The reversal of 86260752 is 25706268.

It is an interprime number because it is at equal distance from previous prime (86260751) and next prime (86260753).

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

It is not an unprimeable number, because it can be changed into a prime (86260751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774 + ... + 13157.

Almost surely, 286260752 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 86260752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123521112).

86260752 is an abundant number, since it is smaller than the sum of its proper divisors (160781472).

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

86260752 is a wasteful number, since it uses less digits than its factorization.

86260752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 13979 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86260752 is about 9287.6666606850. Note that the first 5 decimals coincide. The cubic root of 86260752 is about 441.8461549031.

The spelling of 86260752 in words is "eighty-six million, two hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 13931 27862 41793 55724 83586 111448 125379 167172 222896 250758 334344 501516 599033 668688 1003032 1198066 1797099 2006064 2396132 3594198 4792264 5391297 7188396 9584528 10782594 14376792 21565188 28753584 43130376 86260752