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86078692 = 2272312457
BaseRepresentation
bin1010010000101…
…11010011100100
312222222020202201
411020113103210
5134014004232
612312544244
72063441200
oct510272344
9188866681
1086078692
1144653217
12249b2084
1314aab14b
14b609b00
157854be7
hex52174e4

86078692 has 54 divisors (see below), whose sum is σ = 181462806. Its totient is φ = 35622720.

The previous prime is 86078677. The next prime is 86078743. The reversal of 86078692 is 29687068.

It can be written as a sum of positive squares in only one way, i.e., 83064996 + 3013696 = 9114^2 + 1736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 188128 + ... + 188584.

Almost surely, 286078692 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 86078692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90731403).

86078692 is an abundant number, since it is smaller than the sum of its proper divisors (95384114).

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

86078692 is a wasteful number, since it uses less digits than its factorization.

86078692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 86078692 is about 9277.8603136715. The cubic root of 86078692 is about 441.5350857748.

The spelling of 86078692 in words is "eighty-six million, seventy-eight thousand, six hundred ninety-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 457 868 914 961 1519 1828 1922 3038 3199 3844 6076 6398 6727 12796 13454 14167 22393 26908 28334 44786 47089 56668 89572 94178 99169 188356 198338 396676 439177 694183 878354 1388366 1756708 2776732 3074239 6148478 12296956 21519673 43039346 86078692