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268517525 = 52232916103
BaseRepresentation
bin10000000000010…
…100000010010101
3200201021002210112
4100000110002111
51022220030100
642351132405
76440234633
oct2000240225
9621232715
10268517525
11128631211
1275b14105
1343827113
142793a353
1518890b35
hex10014095

268517525 has 24 divisors (see below), whose sum is σ = 359441280. Its totient is φ = 198376640.

The previous prime is 268517521. The next prime is 268517537. The reversal of 268517525 is 525715862.

It is not a de Polignac number, because 268517525 - 22 = 268517521 is a prime.

It is a super-2 number, since 2×2685175252 = 144203322464251250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268517521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8624 + ... + 24726.

It is an arithmetic number, because the mean of its divisors is an integer number (14976720).

Almost surely, 2268517525 is an apocalyptic number.

268517525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268517525 is a deficient number, since it is larger than the sum of its proper divisors (90923755).

268517525 is a wasteful number, since it uses less digits than its factorization.

268517525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165 (or 16160 counting only the distinct ones).

The product of its digits is 168000, while the sum is 41.

The square root of 268517525 is about 16386.5043557191. The cubic root of 268517525 is about 645.1453110901.

The spelling of 268517525 in words is "two hundred sixty-eight million, five hundred seventeen thousand, five hundred twenty-five".

Divisors: 1 5 23 25 29 115 145 575 667 725 3335 16103 16675 80515 370369 402575 466987 1851845 2334935 9259225 10740701 11674675 53703505 268517525