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86436972 = 22323836269
BaseRepresentation
bin1010010011011…
…10110001101100
320000122110020100
411021232301230
5134111440342
612324351100
72066462556
oct511566154
9200573210
1086436972
1144878416
1224b45490
1314ba524b
14b6a04d6
1578c5e4c
hex526ec6c

86436972 has 36 divisors (see below), whose sum is σ = 219098880. Its totient is φ = 28732512.

The previous prime is 86436971. The next prime is 86436983. The reversal of 86436972 is 27963468.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (86436971) 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, 10654 + ... + 16922.

It is an arithmetic number, because the mean of its divisors is an integer number (6086080).

Almost surely, 286436972 is an apocalyptic number.

It is an amenable number.

86436972 is an abundant number, since it is smaller than the sum of its proper divisors (132661908).

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

86436972 is a wasteful number, since it uses less digits than its factorization.

86436972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6657 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 86436972 is about 9297.1485951339. The cubic root of 86436972 is about 442.1468291836.

The spelling of 86436972 in words is "eighty-six million, four hundred thirty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 383 766 1149 1532 2298 3447 4596 6269 6894 12538 13788 18807 25076 37614 56421 75228 112842 225684 2401027 4802054 7203081 9604108 14406162 21609243 28812324 43218486 86436972