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12823850 = 25213109181
BaseRepresentation
bin110000111010…
…110100101010
3220010112000102
4300322310222
511240330400
61134505402
7214000214
oct60726452
926115012
1012823850
117269826
124365262
13286cca0
1419bb5b4
1511d49d5
hexc3ad2a

12823850 has 48 divisors (see below), whose sum is σ = 26066040. Its totient is φ = 4665600.

The previous prime is 12823819. The next prime is 12823859. The reversal of 12823850 is 5832821.

12823850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 426409 + 12397441 = 653^2 + 3521^2 .

It is a super-2 number, since 2×128238502 = 328902257645000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823859) 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, 70760 + ... + 70940.

Almost surely, 212823850 is an apocalyptic number.

12823850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12823850 is an abundant number, since it is smaller than the sum of its proper divisors (13242190).

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

12823850 is a wasteful number, since it uses less digits than its factorization.

12823850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 12823850 is about 3581.0403516297. The cubic root of 12823850 is about 234.0666160448.

The spelling of 12823850 in words is "twelve million, eight hundred twenty-three thousand, eight hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 109 130 181 218 325 362 545 650 905 1090 1417 1810 2353 2725 2834 4525 4706 5450 7085 9050 11765 14170 19729 23530 35425 39458 58825 70850 98645 117650 197290 256477 493225 512954 986450 1282385 2564770 6411925 12823850