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268000292 = 227711131193
BaseRepresentation
bin11111111100101…
…01110000100100
3200200021211021202
433332111300210
51022102002132
642332102032
76432651650
oct1776256044
9620254252
10268000292
1112830864a
1275904918
13436a5871
1427843a60
15187dc762
hexff95c24

268000292 has 48 divisors (see below), whose sum is σ = 548819712. Its totient is φ = 112143360.

The previous prime is 268000283. The next prime is 268000297. The reversal of 268000292 is 292000862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (268000297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224048 + ... + 225240.

It is an arithmetic number, because the mean of its divisors is an integer number (11433744).

Almost surely, 2268000292 is an apocalyptic number.

It is an amenable number.

268000292 is an abundant number, since it is smaller than the sum of its proper divisors (280819420).

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

268000292 is a wasteful number, since it uses less digits than its factorization.

268000292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 268000292 is about 16370.7144621119. The cubic root of 268000292 is about 644.7308068825.

The spelling of 268000292 in words is "two hundred sixty-eight million, two hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 71 113 142 226 284 452 497 791 994 1193 1582 1988 2386 3164 4772 8023 8351 16046 16702 32092 33404 56161 84703 112322 134809 169406 224644 269618 338812 539236 592921 943663 1185842 1887326 2371684 3774652 9571439 19142878 38285756 67000073 134000146 268000292