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268959108 = 2231117294133
BaseRepresentation
bin10000000001111…
…111110110000100
3200202002112112110
4100001333312010
51022323142413
642404421020
76444054225
oct2001776604
9622075473
10268959108
11128902a60
12760a7770
1343950102
1427a1324c
151892b8c3
hex1007fd84

268959108 has 96 divisors (see below), whose sum is σ = 750072960. Its totient is φ = 74045440.

The previous prime is 268959077. The next prime is 268959143. The reversal of 268959108 is 801959862.

It is a happy number.

268959108 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63010 + ... + 67142.

It is an arithmetic number, because the mean of its divisors is an integer number (7813260).

Almost surely, 2268959108 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 268959108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375036480).

268959108 is an abundant number, since it is smaller than the sum of its proper divisors (481113852).

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

268959108 is a wasteful number, since it uses less digits than its factorization.

268959108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 268959108 is about 16399.9728048555. The cubic root of 268959108 is about 645.4987693082.

The spelling of 268959108 in words is "two hundred sixty-eight million, nine hundred fifty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 17 22 29 33 34 44 51 58 66 68 87 102 116 132 174 187 204 319 348 374 493 561 638 748 957 986 1122 1276 1479 1914 1972 2244 2958 3828 4133 5423 5916 8266 10846 12399 16269 16532 21692 24798 32538 45463 49596 65076 70261 90926 119857 136389 140522 181852 210783 239714 272778 281044 359571 421566 479428 545556 719142 772871 843132 1318427 1438284 1545742 2037569 2318613 2636854 3091484 3955281 4075138 4637226 5273708 6112707 7910562 8150276 9274452 12225414 15821124 22413259 24450828 44826518 67239777 89653036 134479554 268959108