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268046268 = 2237365123
BaseRepresentation
bin11111111101000…
…00111110111100
3200200101011100120
433332200332330
51022104440033
642333054540
76433233000
oct1776407674
9620334316
10268046268
1112833a146
1275927450
13436c0779
1427856700
15187eb1b3
hexffa0fbc

268046268 has 48 divisors (see below), whose sum is σ = 729388800. Its totient is φ = 76583472.

The previous prime is 268046249. The next prime is 268046287. The reversal of 268046268 is 862640862.

It is an interprime number because it is at equal distance from previous prime (268046249) and next prime (268046287).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28446 + ... + 36677.

It is an arithmetic number, because the mean of its divisors is an integer number (15195600).

Almost surely, 2268046268 is an apocalyptic number.

268046268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268046268 is an abundant number, since it is smaller than the sum of its proper divisors (461342532).

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

268046268 is a wasteful number, since it uses less digits than its factorization.

268046268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65151 (or 65135 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 268046268 is about 16372.1186167215. The cubic root of 268046268 is about 644.7676730720.

The spelling of 268046268 in words is "two hundred sixty-eight million, forty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 65123 130246 195369 260492 390738 455861 781476 911722 1367583 1823444 2735166 3191027 5470332 6382054 9573081 12764108 19146162 22337189 38292324 44674378 67011567 89348756 134023134 268046268