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268048368 = 24327265921
BaseRepresentation
bin11111111101000…
…01011111110000
3200200101021020100
433332201133300
51022110021433
642333112400
76433242060
oct1776413760
9620337210
10268048368
11128340785
1275928700
13436c1703
14278573a0
15187ebb13
hexffa17f0

268048368 has 60 divisors (see below), whose sum is σ = 857332528. Its totient is φ = 76584960.

The previous prime is 268048357. The next prime is 268048381. The reversal of 268048368 is 863840862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131953 + ... + 133968.

Almost surely, 2268048368 is an apocalyptic number.

268048368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268048368 is an abundant number, since it is smaller than the sum of its proper divisors (589284160).

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

268048368 is a wasteful number, since it uses less digits than its factorization.

268048368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265942 (or 265933 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268048368 is about 16372.1827500184. The cubic root of 268048368 is about 644.7693568716.

The spelling of 268048368 in words is "two hundred sixty-eight million, forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 265921 531842 797763 1063684 1595526 1861447 2127368 2393289 3191052 3722894 4254736 4786578 5584341 6382104 7445788 9573156 11168682 12764208 14891576 16753023 19146312 22337364 29783152 33506046 38292624 44674728 67012092 89349456 134024184 268048368