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268056656 = 24721811889
BaseRepresentation
bin11111111101000…
…11100001010000
3200200101200121022
433332203201100
51022110303111
642333215012
76433305200
oct1776434120
9620350538
10268056656
11128346a2a
1275931468
13436c540a
142785a400
15187ee2db
hexffa3850

268056656 has 60 divisors (see below), whose sum is σ = 607812660. Its totient is φ = 114186240.

The previous prime is 268056653. The next prime is 268056661. The reversal of 268056656 is 656650862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47831056 + 220225600 = 6916^2 + 14840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268056653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140960 + ... + 142848.

It is an arithmetic number, because the mean of its divisors is an integer number (10130211).

Almost surely, 2268056656 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 268056656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303906330).

268056656 is an abundant number, since it is smaller than the sum of its proper divisors (339756004).

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

268056656 is a wasteful number, since it uses less digits than its factorization.

268056656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 268056656 is about 16372.4358603111. The cubic root of 268056656 is about 644.7760021814.

The spelling of 268056656 in words is "two hundred sixty-eight million, fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 181 196 362 392 724 784 1267 1448 1889 2534 2896 3778 5068 7556 8869 10136 13223 15112 17738 20272 26446 30224 35476 52892 70952 92561 105784 141904 185122 211568 341909 370244 683818 740488 1367636 1480976 2393363 2735272 4786726 5470544 9573452 16753541 19146904 33507082 38293808 67014164 134028328 268056656