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268087908 = 2231123227389
BaseRepresentation
bin11111111101010…
…11001001100100
3200200110021110210
433332223021210
51022112303113
642334015420
76433465254
oct1776531144
9620407423
10268087908
11128368460
1275947570
13437066ca
1427867964
15188086c3
hexffab264

268087908 has 96 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 77165440.

The previous prime is 268087879. The next prime is 268087913. The reversal of 268087908 is 809780862.

It is a happy number.

It is a super-3 number, since 3×2680879083 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688978 + ... + 689366.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2268087908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268087908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

268087908 is an abundant number, since it is smaller than the sum of its proper divisors (448962972).

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

268087908 is a wasteful number, since it uses less digits than its factorization.

268087908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 268087908 is about 16373.3902414863. The cubic root of 268087908 is about 644.8010587707.

It can be divided in two parts, 26808 and 7908, that added together give a triangular number (34716 = T263).

The spelling of 268087908 in words is "two hundred sixty-eight million, eighty-seven thousand, nine hundred eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 227 253 276 389 454 506 681 759 778 908 1012 1167 1362 1518 1556 2334 2497 2724 3036 4279 4668 4994 5221 7491 8558 8947 9988 10442 12837 14982 15663 17116 17894 20884 25674 26841 29964 31326 35788 51348 53682 57431 62652 88303 98417 107364 114862 172293 176606 196834 229724 264909 295251 344586 353212 393668 529818 590502 689172 971333 1059636 1181004 1942666 2030969 2913999 3885332 4061938 5827998 6092907 8123876 11655996 12185814 22340659 24371628 44681318 67021977 89362636 134043954 268087908