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86788926 = 2327798719
BaseRepresentation
bin1010010110001…
…00101100111110
320001022100000200
411023010230332
5134204221201
612340104330
72102456640
oct513045476
9201270020
1086788926
1144a98894
12250950a6
1314c994c3
14b752890
157945386
hex52c4b3e

86788926 has 48 divisors (see below), whose sum is σ = 217651200. Its totient is φ = 24480144.

The previous prime is 86788873. The next prime is 86788943. The reversal of 86788926 is 62988768.

It is a super-3 number, since 3×867889263 (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5595 + ... + 14313.

It is an arithmetic number, because the mean of its divisors is an integer number (4534400).

Almost surely, 286788926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86788926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108825600).

86788926 is an abundant number, since it is smaller than the sum of its proper divisors (130862274).

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

86788926 is a wasteful number, since it uses less digits than its factorization.

86788926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8810 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 86788926 is about 9316.0574279037. The cubic root of 86788926 is about 442.7461275568.

The spelling of 86788926 in words is "eighty-six million, seven hundred eighty-eight thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 8719 9954 17438 26157 52314 61033 78471 122066 156942 183099 366198 549297 688801 1098594 1377602 2066403 4132806 4821607 6199209 9643214 12398418 14464821 28929642 43394463 86788926