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268599056 = 24111997669
BaseRepresentation
bin10000000000100…
…111111100010000
3200201102020122012
4100000213330100
51022230132211
642353002052
76441024425
oct2000477420
9621366565
10268599056
111286874a0
1275b53328
134385526b
142795bd4c
15188a9d8b
hex10027f10

268599056 has 40 divisors (see below), whose sum is σ = 570648000. Its totient is φ = 121461120.

The previous prime is 268599053. The next prime is 268599101. The reversal of 268599056 is 650995862.

It is a super-2 number, since 2×2685990562 = 144290905768182272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268598995 and 268599013.

It is not an unprimeable number, because it can be changed into a prime (268599053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31190 + ... + 38858.

It is an arithmetic number, because the mean of its divisors is an integer number (14266200).

Almost surely, 2268599056 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 268599056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285324000).

268599056 is an abundant number, since it is smaller than the sum of its proper divisors (302048944).

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

268599056 is a wasteful number, since it uses less digits than its factorization.

268599056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7887 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The square root of 268599056 is about 16388.9919153071. The cubic root of 268599056 is about 645.2106004595.

The spelling of 268599056 in words is "two hundred sixty-eight million, five hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1592 2189 3184 4378 7669 8756 15338 17512 30676 35024 61352 84359 122704 168718 337436 674872 1349744 1526131 3052262 6104524 12209048 16787441 24418096 33574882 67149764 134299528 268599056