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12829936 = 247114553
BaseRepresentation
bin110000111100…
…010011110000
3220010211100211
4300330103300
511241024221
61134553504
7214024030
oct60742360
926124324
1012829936
117273359
124368894
1328729a2
1419bd8c0
1511d66e1
hexc3c4f0

12829936 has 20 divisors (see below), whose sum is σ = 28409392. Its totient is φ = 5498496.

The previous prime is 12829933. The next prime is 12829937. The reversal of 12829936 is 63992821.

It is a happy number.

It is a super-3 number, since 3×128299363 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57165 + ... + 57388.

Almost surely, 212829936 is an apocalyptic number.

12829936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12829936 is an abundant number, since it is smaller than the sum of its proper divisors (15579456).

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

12829936 is a wasteful number, since it uses less digits than its factorization.

12829936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114568 (or 114562 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 12829936 is about 3581.8900038946. The cubic root of 12829936 is about 234.1036383153.

The spelling of 12829936 in words is "twelve million, eight hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 114553 229106 458212 801871 916424 1603742 1832848 3207484 6414968 12829936