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12792429 = 3213313527
BaseRepresentation
bin110000110011…
…001001101101
3220001220220200
4300303021231
511233324204
61134104113
7213506466
oct60631155
926056820
1012792429
117248161
12434b039
13285b8b0
1419add6d
1511ca539
hexc3326d

12792429 has 24 divisors (see below), whose sum is σ = 20547072. Its totient is φ = 7616160.

The previous prime is 12792427. The next prime is 12792431. The reversal of 12792429 is 92429721.

12792429 = T22 + T23 + ... + T424.

12792429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12792427) and next prime (12792431).

It is not a de Polignac number, because 12792429 - 21 = 12792427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12792393 and 12792402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (856128).

Almost surely, 212792429 is an apocalyptic number.

It is an amenable number.

12792429 is a deficient number, since it is larger than the sum of its proper divisors (7754643).

12792429 is a wasteful number, since it uses less digits than its factorization.

12792429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3574 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12792429 is about 3576.6505280779. The cubic root of 12792429 is about 233.8752896728.

The spelling of 12792429 in words is "twelve million, seven hundred ninety-two thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3527 3627 10581 31743 45851 109337 137553 328011 412659 984033 1421381 4264143 12792429