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268049184 = 25313214783
BaseRepresentation
bin11111111101000…
…01101100100000
3200200101022100120
433332201230200
51022110033214
642333120240
76433244334
oct1776415440
9620338316
10268049184
11128341357
1275929080
13436c1bb0
14278577c4
15187ebea9
hexffa1b20

268049184 has 48 divisors (see below), whose sum is σ = 757757952. Its totient is φ = 82476288.

The previous prime is 268049179. The next prime is 268049191. The reversal of 268049184 is 481940862.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106144 + ... + 108639.

It is an arithmetic number, because the mean of its divisors is an integer number (15786624).

Almost surely, 2268049184 is an apocalyptic number.

268049184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268049184 is an abundant number, since it is smaller than the sum of its proper divisors (489708768).

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

268049184 is a wasteful number, since it uses less digits than its factorization.

268049184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214809 (or 214801 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 268049184 is about 16372.2076703174. The cubic root of 268049184 is about 644.7700111456.

The spelling of 268049184 in words is "two hundred sixty-eight million, forty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 214783 429566 644349 859132 1288698 1718264 2577396 2792179 3436528 5154792 5584358 6873056 8376537 10309584 11168716 16753074 20619168 22337432 33506148 44674864 67012296 89349728 134024592 268049184