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86344632 = 23321131753
BaseRepresentation
bin1010010010110…
…00001110111000
320000110202120100
411021120032320
5134101012012
612322355400
72065626423
oct511301670
9200422510
1086344632
1144815000
1224abbb60
1314b721ca
14b6789ba
1578a88dc
hex52583b8

86344632 has 192 divisors, whose sum is σ = 277486560. Its totient is φ = 24161280.

The previous prime is 86344549. The next prime is 86344663. The reversal of 86344632 is 23644368.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629118 + ... + 1629170.

Almost surely, 286344632 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 86344632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138743280).

86344632 is an abundant number, since it is smaller than the sum of its proper divisors (191141928).

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

86344632 is a wasteful number, since it uses less digits than its factorization.

86344632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 86344632 is about 9292.1812293993. The cubic root of 86344632 is about 441.9893256501.

The spelling of 86344632 in words is "eighty-six million, three hundred forty-four thousand, six hundred thirty-two".