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86505894 = 23417101311
BaseRepresentation
bin1010010011111…
…11100110100110
320000202221210000
411021333212212
5134121142034
612330042130
72100200526
oct511774646
9200687700
1086505894
1144915182
1224b79346
1314bca727
14b6bb686
1578db599
hex527f9a6

86505894 has 80 divisors (see below), whose sum is σ = 207938016. Its totient is φ = 26784000.

The previous prime is 86505883. The next prime is 86505919. The reversal of 86505894 is 49850568.

86505894 is a `hidden beast` number, since 8 + 65 + 0 + 589 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 277999 + ... + 278309.

Almost surely, 286505894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86505894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103969008).

86505894 is an abundant number, since it is smaller than the sum of its proper divisors (121432122).

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

86505894 is a wasteful number, since it uses less digits than its factorization.

86505894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 86505894 is about 9300.8544768747. The cubic root of 86505894 is about 442.2643157447.

The spelling of 86505894 in words is "eighty-six million, five hundred five thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 101 102 153 162 202 303 306 311 459 606 622 909 918 933 1377 1717 1818 1866 2727 2754 2799 3434 5151 5287 5454 5598 8181 8397 10302 10574 15453 15861 16362 16794 25191 30906 31411 31722 46359 47583 50382 62822 92718 94233 95166 139077 142749 188466 278154 282699 285498 428247 533987 565398 848097 856494 1067974 1601961 1696194 2544291 3203922 4805883 5088582 9611766 14417649 28835298 43252947 86505894