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86414208 = 273225037
BaseRepresentation
bin1010010011010…
…01001110000000
320000121022000020
411021221032000
5134110223313
612324053440
72066336316
oct511511600
9200538006
1086414208
1144862301
1224b34280
1314b97a8a
14b6960b6
1578be323
hex5269380

86414208 has 32 divisors (see below), whose sum is σ = 229538760. Its totient is φ = 28804608.

The previous prime is 86414191. The next prime is 86414227. The reversal of 86414208 is 80241468.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112135 + ... + 112902.

Almost surely, 286414208 is an apocalyptic number.

It is an amenable number.

86414208 is an abundant number, since it is smaller than the sum of its proper divisors (143124552).

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

86414208 is a wasteful number, since it uses less digits than its factorization.

86414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225054 (or 225042 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 86414208 is about 9295.9242681941. The cubic root of 86414208 is about 442.1080112492.

The spelling of 86414208 in words is "eighty-six million, four hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 225037 450074 675111 900148 1350222 1800296 2700444 3600592 5400888 7201184 10801776 14402368 21603552 28804736 43207104 86414208