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268092864 = 26321335803
BaseRepresentation
bin11111111101011…
…00010111000000
3200200110112021100
433332230113000
51022112432424
642334054400
76433515564
oct1776542700
9620415240
10268092864
11128371156
127594a400
1343708a40
14278696a4
1518809dc9
hexffac5c0

268092864 has 84 divisors (see below), whose sum is σ = 827573656. Its totient is φ = 82487808.

The previous prime is 268092857. The next prime is 268092871. The reversal of 268092864 is 468290862.

It is an interprime number because it is at equal distance from previous prime (268092857) and next prime (268092871).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10414 + ... + 25389.

Almost surely, 2268092864 is an apocalyptic number.

268092864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268092864 is an abundant number, since it is smaller than the sum of its proper divisors (559480792).

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

268092864 is a wasteful number, since it uses less digits than its factorization.

268092864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35834 (or 35821 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 268092864 is about 16373.5415839091. The cubic root of 268092864 is about 644.8050321121.

The spelling of 268092864 in words is "two hundred sixty-eight million, ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 35803 71606 107409 143212 214818 286424 322227 429636 465439 572848 644454 859272 930878 1145696 1288908 1396317 1718544 1861756 2291392 2577816 2792634 3437088 3723512 4188951 5155632 5585268 6874176 7447024 8377902 10311264 11170536 14894048 16755804 20622528 22341072 29788096 33511608 44682144 67023216 89364288 134046432 268092864