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268003912 = 231117237789
BaseRepresentation
bin11111111100101…
…10101001001000
3200200022000020211
433332112221020
51022102111122
642332130504
76432665341
oct1776265110
9620260224
10268003912
11128310340
1275906a34
13436a73c7
14278450c8
15187dd877
hexff96a48

268003912 has 64 divisors (see below), whose sum is σ = 605750400. Its totient is φ = 109655040.

The previous prime is 268003891. The next prime is 268003937. The reversal of 268003912 is 219300862.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30514 + ... + 38302.

It is an arithmetic number, because the mean of its divisors is an integer number (9464850).

Almost surely, 2268003912 is an apocalyptic number.

268003912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268003912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302875200).

268003912 is an abundant number, since it is smaller than the sum of its proper divisors (337746488).

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

268003912 is a wasteful number, since it uses less digits than its factorization.

268003912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 268003912 is about 16370.8250250255. The cubic root of 268003912 is about 644.7337097587.

The spelling of 268003912 in words is "two hundred sixty-eight million, three thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 748 782 1012 1496 1564 2024 3128 4301 7789 8602 15578 17204 31156 34408 62312 85679 132413 171358 179147 264826 342716 358294 529652 685432 716588 1059304 1433176 1456543 1970617 2913086 3045499 3941234 5826172 6090998 7882468 11652344 12181996 15764936 24363992 33500489 67000978 134001956 268003912