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12288569 = 172101421
BaseRepresentation
bin101110111000…
…001000111001
3212010022202012
4232320020321
511121213234
61115215305
7206310506
oct56701071
925108665
1012288569
116a33647
124147535
132713457
1418bc4ad
15112b0ce
hexbb8239

12288569 has 12 divisors (see below), whose sum is σ = 13214508. Its totient is φ = 11424000.

The previous prime is 12288559. The next prime is 12288581. The reversal of 12288569 is 96588221.

12288569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 640000 + 11648569 = 800^2 + 3413^2 .

It is not a de Polignac number, because 12288569 - 24 = 12288553 is a prime.

It is a super-2 number, since 2×122885692 = 302017856135522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28979 + ... + 29399.

It is an arithmetic number, because the mean of its divisors is an integer number (1101209).

Almost surely, 212288569 is an apocalyptic number.

It is an amenable number.

12288569 is a deficient number, since it is larger than the sum of its proper divisors (925939).

12288569 is a wasteful number, since it uses less digits than its factorization.

With its successor (12288570) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (539).

12288569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its digits is 69120, while the sum is 41.

The square root of 12288569 is about 3505.5055270246. The cubic root of 12288569 is about 230.7634929998.

The spelling of 12288569 in words is "twelve million, two hundred eighty-eight thousand, five hundred sixty-nine".

Divisors: 1 17 101 289 421 1717 7157 29189 42521 121669 722857 12288569