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272293245 = 3457213721
BaseRepresentation
bin10000001110101…
…101110101111101
3200222100221010000
4100032231311331
51024201340440
643004104513
76514311600
oct2016556575
9628327100
10272293245
1112a77aa44
1277235139
1344549883
1428240337
1518d89730
hex103add7d

272293245 has 60 divisors (see below), whose sum is σ = 567843804. Its totient is φ = 124467840.

The previous prime is 272293213. The next prime is 272293247. The reversal of 272293245 is 542392272.

It can be written as a sum of positive squares in 2 ways, for example, as 76685049 + 195608196 = 8757^2 + 13986^2 .

It is not a de Polignac number, because 272293245 - 25 = 272293213 is a prime.

It is a super-2 number, since 2×2722932452 = 148287222545260050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272293247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12985 + ... + 26705.

Almost surely, 2272293245 is an apocalyptic number.

It is an amenable number.

272293245 is an abundant number, since it is smaller than the sum of its proper divisors (295550559).

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

272293245 is a wasteful number, since it uses less digits than its factorization.

272293245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752 (or 13736 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 272293245 is about 16501.3104025105. The cubic root of 272293245 is about 648.1551197571.

The spelling of 272293245 in words is "two hundred seventy-two million, two hundred ninety-three thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3969 6615 13721 19845 41163 68605 96047 123489 205815 288141 370467 480235 617445 672329 864423 1111401 1440705 1852335 2016987 2593269 3361645 4322115 5557005 6050961 7779807 10084935 12966345 18152883 30254805 38899035 54458649 90764415 272293245