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272703264 = 25312792221
BaseRepresentation
bin10000010000010…
…001111100100000
3201000010202112220
4100100101330200
51024303001024
643020551040
76520640151
oct2020217440
9630122486
10272703264
1112aa2aaa9
12773b2480
13446613a2
1428309928
1518e1ae79
hex10411f20

272703264 has 48 divisors (see below), whose sum is σ = 716728320. Its totient is φ = 90789120.

The previous prime is 272703229. The next prime is 272703271. The reversal of 272703264 is 462307272.

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

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, 121674 + ... + 123894.

It is an arithmetic number, because the mean of its divisors is an integer number (14931840).

Almost surely, 2272703264 is an apocalyptic number.

272703264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

272703264 is an abundant number, since it is smaller than the sum of its proper divisors (444025056).

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

272703264 is a wasteful number, since it uses less digits than its factorization.

272703264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 272703264 is about 16513.7295605808. The cubic root of 272703264 is about 648.4802871256.

The spelling of 272703264 in words is "two hundred seventy-two million, seven hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1279 2221 2558 3837 4442 5116 6663 7674 8884 10232 13326 15348 17768 20464 26652 30696 35536 40928 53304 61392 71072 106608 122784 213216 2840659 5681318 8521977 11362636 17043954 22725272 34087908 45450544 68175816 90901088 136351632 272703264