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268391475 = 34521112049
BaseRepresentation
bin11111111111101…
…01010000110011
3200201000200220000
433333311100303
51022202011400
642344321043
76436201302
oct1777652063
9621020800
10268391475
11128555540
1275a73183
13437b1931
1427906439
1518868600
hexfff5433

268391475 has 60 divisors (see below), whose sum is σ = 542394600. Its totient is φ = 130118400.

The previous prime is 268391467. The next prime is 268391527. The reversal of 268391475 is 574193862.

It is not a de Polignac number, because 268391475 - 23 = 268391467 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 268391475.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16251 + ... + 28299.

It is an arithmetic number, because the mean of its divisors is an integer number (9039910).

Almost surely, 2268391475 is an apocalyptic number.

268391475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268391475 is an abundant number, since it is smaller than the sum of its proper divisors (274003125).

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

268391475 is a wasteful number, since it uses less digits than its factorization.

268391475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12082 (or 12068 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 268391475 is about 16382.6577514151. The cubic root of 268391475 is about 645.0443452475.

The spelling of 268391475 in words is "two hundred sixty-eight million, three hundred ninety-one thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 12049 22275 36147 60245 108441 132539 180735 301225 325323 397617 542205 662695 903675 975969 1192851 1626615 1988085 2711025 3313475 3578553 4879845 5964255 8133075 9940425 10735659 17892765 24399225 29821275 53678295 89463825 268391475