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268336125 = 3353433
BaseRepresentation
bin11111111111001…
…11101111111101
3200200220212222000
433333213233331
51022143224000
642343212513
76435551031
oct1777475775
9620825860
10268336125
111285179a2
1275a47139
1343792695
14278d01c1
1518857000
hexffe7bfd

268336125 has 64 divisors (see below), whose sum is σ = 507936000. Its totient is φ = 139784400.

The previous prime is 268336111. The next prime is 268336129. The reversal of 268336125 is 521633862.

It is a happy number.

The cubic root of 268336125 is 645.

It is a perfect power (a cube), and thus also a powerful number.

268336125 is a `hidden beast` number, since 2 + 6 + 8 + 33 + 612 + 5 = 666.

It is not a de Polignac number, because 268336125 - 219 = 267811837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268336125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268336129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6240354 + ... + 6240396.

It is an arithmetic number, because the mean of its divisors is an integer number (7936500).

Almost surely, 2268336125 is an apocalyptic number.

268336125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268336125 is a deficient number, since it is larger than the sum of its proper divisors (239599875).

268336125 is an frugal number, since it uses more digits than its factorization.

268336125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 51 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 268336125 is about 16380.9683779684.

Adding to 268336125 its reverse (521633862), we get a palindrome (789969987).

The spelling of 268336125 in words is "two hundred sixty-eight million, three hundred thirty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 125 129 135 215 225 375 387 645 675 1075 1125 1161 1849 1935 3225 3375 5375 5547 5805 9245 9675 16125 16641 27735 29025 46225 48375 49923 79507 83205 138675 145125 231125 238521 249615 397535 416025 693375 715563 1192605 1248075 1987675 2080125 2146689 3577815 5963025 6240375 9938375 10733445 17889075 29815125 53667225 89445375 268336125