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264109472 = 2511750311
BaseRepresentation
bin11111011110111…
…11110110100000
3200101222011002022
433233133312200
51020103000342
642112441012
76354615314
oct1757376640
9611864068
10264109472
111260a03a0
1274549168
13429428c3
142710db44
15182be9d2
hexfbdfda0

264109472 has 24 divisors (see below), whose sum is σ = 567235872. Its totient is φ = 120049600.

The previous prime is 264109471. The next prime is 264109487. The reversal of 264109472 is 274901462.

It is not an unprimeable number, because it can be changed into a prime (264109471) 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 3 ways as a sum of consecutive naturals, for example, 374804 + ... + 375507.

It is an arithmetic number, because the mean of its divisors is an integer number (23634828).

Almost surely, 2264109472 is an apocalyptic number.

264109472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

264109472 is an abundant number, since it is smaller than the sum of its proper divisors (303126400).

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

264109472 is a wasteful number, since it uses less digits than its factorization.

264109472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750332 (or 750324 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 264109472 is about 16251.4452280405. The cubic root of 264109472 is about 641.5955242503.

The spelling of 264109472 in words is "two hundred sixty-four million, one hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 750311 1500622 3001244 6002488 8253421 12004976 16506842 24009952 33013684 66027368 132054736 264109472