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86373432 = 2333894493
BaseRepresentation
bin1010010010111…
…11010000111000
320000112020002000
411021133100320
5134102422212
612323141000
72066106405
oct511372070
9200466060
1086373432
1144834702
1224b14760
1314b82352
14b6852ac
1578b21dc
hex525f438

86373432 has 64 divisors (see below), whose sum is σ = 242676000. Its totient is φ = 28461312.

The previous prime is 86373383. The next prime is 86373439. The reversal of 86373432 is 23437368.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86373439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16978 + ... + 21470.

Almost surely, 286373432 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 86373432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121338000).

86373432 is an abundant number, since it is smaller than the sum of its proper divisors (156302568).

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

86373432 is a wasteful number, since it uses less digits than its factorization.

86373432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4587 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 86373432 is about 9293.7307901617. The cubic root of 86373432 is about 442.0384616040.

The spelling of 86373432 in words is "eighty-six million, three hundred seventy-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 4493 4806 6408 8986 9612 13479 17972 19224 26958 35944 40437 53916 80874 107832 121311 161748 242622 323496 399877 485244 799754 970488 1199631 1599508 2399262 3199016 3598893 4798524 7197786 9597048 10796679 14395572 21593358 28791144 43186716 86373432