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268425090 = 236536821
BaseRepresentation
bin11111111111111…
…01011110000010
3200201002102000000
433333331132002
51022204100330
642345140430
76436401303
oct1777753602
9621072000
10268425090
1112857881a
1275a8a716
13437c401b
14279147aa
1518873560
hexfffd782

268425090 has 56 divisors (see below), whose sum is σ = 724436028. Its totient is φ = 71578080.

The previous prime is 268425089. The next prime is 268425109. The reversal of 268425090 is 90524862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 261565929 + 6859161 = 16173^2 + 2619^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11121 + ... + 25700.

Almost surely, 2268425090 is an apocalyptic number.

268425090 is an abundant number, since it is smaller than the sum of its proper divisors (456010938).

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

268425090 is an equidigital number, since it uses as much as digits as its factorization.

268425090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36846 (or 36831 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 268425090 is about 16383.6836517311. The cubic root of 268425090 is about 645.0712738977.

The spelling of 268425090 in words is "two hundred sixty-eight million, four hundred twenty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 36821 73642 110463 184105 220926 331389 368210 552315 662778 994167 1104630 1656945 1988334 2982501 3313890 4970835 5965002 8947503 9941670 14912505 17895006 26842509 29825010 44737515 53685018 89475030 134212545 268425090