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268956468 = 223211679183
BaseRepresentation
bin10000000001111…
…111001100110100
3200202002101220200
4100001333030310
51022323101333
642404400500
76444043434
oct2001771464
9622071820
10268956468
11128900a80
12760a6130
134394bb51
1427a122c4
151892ac13
hex1007f334

268956468 has 36 divisors (see below), whose sum is σ = 741668928. Its totient is φ = 81501840.

The previous prime is 268956461. The next prime is 268956497. The reversal of 268956468 is 864659862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268956461) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 339196 + ... + 339987.

Almost surely, 2268956468 is an apocalyptic number.

It is an amenable number.

268956468 is an abundant number, since it is smaller than the sum of its proper divisors (472712460).

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

268956468 is a wasteful number, since it uses less digits than its factorization.

268956468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679204 (or 679199 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 268956468 is about 16399.8923167196. The cubic root of 268956468 is about 645.4966573114.

The spelling of 268956468 in words is "two hundred sixty-eight million, nine hundred fifty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 679183 1358366 2037549 2716732 4075098 6112647 7471013 8150196 12225294 14942026 22413039 24450588 29884052 44826078 67239117 89652156 134478234 268956468