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264286253 = 72113115817
BaseRepresentation
bin11111100000010…
…11000000101101
3200102022010120202
433300023000231
51020124130003
642120323245
76356252600
oct1760130055
9612263522
10264286253
111262011a0
1274613525
13429a51ca
1427158337
1518307088
hexfc0b02d

264286253 has 24 divisors (see below), whose sum is σ = 346224384. Its totient is φ = 199281600.

The previous prime is 264286241. The next prime is 264286273. The reversal of 264286253 is 352682462.

It is not a de Polignac number, because 264286253 - 24 = 264286237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264286273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8801 + ... + 24617.

It is an arithmetic number, because the mean of its divisors is an integer number (14426016).

Almost surely, 2264286253 is an apocalyptic number.

It is an amenable number.

264286253 is a deficient number, since it is larger than the sum of its proper divisors (81938131).

264286253 is a wasteful number, since it uses less digits than its factorization.

264286253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15873 (or 15866 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 264286253 is about 16256.8832498730. The cubic root of 264286253 is about 641.7386424312.

The spelling of 264286253 in words is "two hundred sixty-four million, two hundred eighty-six thousand, two hundred fifty-three".

Divisors: 1 7 11 31 49 77 217 341 539 1519 2387 15817 16709 110719 173987 490327 775033 1217909 3432289 5393597 8525363 24026023 37755179 264286253