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12829404 = 2237163937
BaseRepresentation
bin110000111100…
…001011011100
3220010210122010
4300330023130
511241020104
61134551220
7214022340
oct60741334
926123563
1012829404
117272a15
124368510
132872683
1419bd620
1511d6489
hexc3c2dc

12829404 has 48 divisors (see below), whose sum is σ = 34458368. Its totient is φ = 3639168.

The previous prime is 12829391. The next prime is 12829451. The reversal of 12829404 is 40492821.

12829404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13224 + ... + 14160.

Almost surely, 212829404 is an apocalyptic number.

12829404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12829404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17229184).

12829404 is an abundant number, since it is smaller than the sum of its proper divisors (21628964).

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

12829404 is a wasteful number, since it uses less digits than its factorization.

12829404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12829404 is about 3581.8157406545. The cubic root of 12829404 is about 234.1004025273.

The spelling of 12829404 in words is "twelve million, eight hundred twenty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 937 978 1141 1874 1956 2282 2811 3423 3748 4564 5622 6559 6846 11244 13118 13692 19677 26236 39354 78708 152731 305462 458193 610924 916386 1069117 1832772 2138234 3207351 4276468 6414702 12829404