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12829308 = 2232324347
BaseRepresentation
bin110000111100…
…001001111100
3220010210111120
4300330021330
511241014213
61134550540
7214022142
oct60741174
926123446
1012829308
117272938
124368450
13287260b
1419bd592
1511d6423
hexc3c27c

12829308 has 72 divisors (see below), whose sum is σ = 32702208. Its totient is φ = 3910368.

The previous prime is 12829303. The next prime is 12829379. The reversal of 12829308 is 80392821.

12829308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128293082 = 329182287517728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829301) 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, 272941 + ... + 272987.

Almost surely, 212829308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12829308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351104).

12829308 is an abundant number, since it is smaller than the sum of its proper divisors (19872900).

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

12829308 is a wasteful number, since it uses less digits than its factorization.

12829308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12829308 is about 3581.8023396050. The cubic root of 12829308 is about 234.0998186162.

The spelling of 12829308 in words is "twelve million, eight hundred twenty-nine thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 23 43 46 47 69 86 92 94 129 138 141 172 188 258 276 282 516 529 564 989 1058 1081 1587 1978 2021 2116 2162 2967 3174 3243 3956 4042 4324 5934 6063 6348 6486 8084 11868 12126 12972 22747 24252 24863 45494 46483 49726 68241 74589 90988 92966 99452 136482 139449 149178 185932 272964 278898 298356 557796 1069109 2138218 3207327 4276436 6414654 12829308