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86536296 = 2333711343
BaseRepresentation
bin1010010100001…
…11000001101000
320000211111111000
411022013001220
5134123130141
612330435000
72100355260
oct512070150
9200744430
1086536296
1144936000
1224b92a60
1314c0b512
14b6c87a0
1578e55b6
hex5287068

86536296 has 256 divisors, whose sum is σ = 309196800. Its totient is φ = 21954240.

The previous prime is 86536277. The next prime is 86536301. The reversal of 86536296 is 69263568.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2012451 + ... + 2012493.

It is an arithmetic number, because the mean of its divisors is an integer number (1207800).

Almost surely, 286536296 is an apocalyptic number.

86536296 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86536296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154598400).

86536296 is an abundant number, since it is smaller than the sum of its proper divisors (222660504).

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

86536296 is a wasteful number, since it uses less digits than its factorization.

86536296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 86536296 is about 9302.4886992675. The cubic root of 86536296 is about 442.3161200950.

The spelling of 86536296 in words is "eighty-six million, five hundred thirty-six thousand, two hundred ninety-six".