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86918076 = 22337176763
BaseRepresentation
bin1010010111001…
…00001110111100
320001112220012000
411023210032330
5134222334301
612342542300
72103535320
oct513441674
9201486160
1086918076
1145076923
1225137990
131501321b
14b787980
15796d786
hex52e43bc

86918076 has 96 divisors (see below), whose sum is σ = 272724480. Its totient is φ = 23369472.

The previous prime is 86918071. The next prime is 86918089. The reversal of 86918076 is 67081968.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86918071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9471 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (2840880).

Almost surely, 286918076 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 86918076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136362240).

86918076 is an abundant number, since it is smaller than the sum of its proper divisors (185806404).

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

86918076 is a wasteful number, since it uses less digits than its factorization.

86918076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 86918076 is about 9322.9864313963. The cubic root of 86918076 is about 442.9656345264.

The spelling of 86918076 in words is "eighty-six million, nine hundred eighteen thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 6763 12852 13526 20289 27052 40578 47341 60867 81156 94682 114971 121734 142023 182601 189364 229942 243468 284046 344913 365202 426069 459884 568092 689826 730404 804797 852138 1034739 1278207 1379652 1609594 1704276 2069478 2414391 2556414 3104217 3219188 4138956 4828782 5112828 6208434 7243173 9657564 12416868 14486346 21729519 28972692 43459038 86918076