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12829349 = 136611493
BaseRepresentation
bin110000111100…
…001010100101
3220010210120002
4300330022211
511241014344
61134551045
7214022231
oct60741245
926123502
1012829349
117272975
124368485
132872640
1419bd5c1
1511d644e
hexc3c2a5

12829349 has 8 divisors (see below), whose sum is σ = 13846392. Its totient is φ = 11816640.

The previous prime is 12829303. The next prime is 12829379. The reversal of 12829349 is 94392821.

It can be written as a sum of positive squares in 4 ways, for example, as 3678724 + 9150625 = 1918^2 + 3025^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12829349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829379) 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 7 ways as a sum of consecutive naturals, for example, 7847 + ... + 9339.

It is an arithmetic number, because the mean of its divisors is an integer number (1730799).

Almost surely, 212829349 is an apocalyptic number.

It is an amenable number.

12829349 is a deficient number, since it is larger than the sum of its proper divisors (1017043).

12829349 is a wasteful number, since it uses less digits than its factorization.

12829349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167.

The product of its digits is 31104, while the sum is 38.

The square root of 12829349 is about 3581.8080629760. The cubic root of 12829349 is about 234.1000679953.

The spelling of 12829349 in words is "twelve million, eight hundred twenty-nine thousand, three hundred forty-nine".

Divisors: 1 13 661 1493 8593 19409 986873 12829349