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264113982 = 232111333909
BaseRepresentation
bin11111011111000…
…00111100111110
3200101222101021100
433233200330332
51020103121412
642112513530
76354634416
oct1757407476
9611871240
10264113982
111260a3820
127454b8a6
1342944982
1427111646
15182c0edc
hexfbe0f3e

264113982 has 24 divisors (see below), whose sum is σ = 624269880. Its totient is φ = 80034480.

The previous prime is 264113981. The next prime is 264114001. The reversal of 264113982 is 289311462.

264113982 is a `hidden beast` number, since 2 + 641 + 1 + 3 + 9 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264113981) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 666757 + ... + 667152.

It is an arithmetic number, because the mean of its divisors is an integer number (26011245).

Almost surely, 2264113982 is an apocalyptic number.

264113982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

264113982 is an abundant number, since it is smaller than the sum of its proper divisors (360155898).

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

264113982 is a wasteful number, since it uses less digits than its factorization.

264113982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333928 (or 1333925 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 264113982 is about 16251.5839843383. The cubic root of 264113982 is about 641.5991762453.

The spelling of 264113982 in words is "two hundred sixty-four million, one hundred thirteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1333909 2667818 4001727 8003454 12005181 14672999 24010362 29345998 44018997 88037994 132056991 264113982