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12326952 = 2331153881
BaseRepresentation
bin101111000001…
…100000101000
3212012021101210
4233001200220
511123430302
61120113120
7206530431
oct57014050
925167353
1012326952
116a5a470
1241657a0
132727a71
1418cc488
15113766c
hexbc1828

12326952 has 64 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 3660800.

The previous prime is 12326947. The next prime is 12326959. The reversal of 12326952 is 25962321.

It is a super-2 number, since 2×123269522 = 303907491220608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12326959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13552 + ... + 14432.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 212326952 is an apocalyptic number.

12326952 is a gapful number since it is divisible by the number (12) 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 12326952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

12326952 is an abundant number, since it is smaller than the sum of its proper divisors (21965208).

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

12326952 is a wasteful number, since it uses less digits than its factorization.

12326952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 12326952 is about 3510.9759327002. The cubic root of 12326952 is about 231.0035043789.

It can be divided in two parts, 123269 and 52, that added together give a palindrome (123321).

The spelling of 12326952 in words is "twelve million, three hundred twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 881 1166 1272 1749 1762 2332 2643 3498 3524 4664 5286 6996 7048 9691 10572 13992 19382 21144 29073 38764 46693 58146 77528 93386 116292 140079 186772 232584 280158 373544 513623 560316 1027246 1120632 1540869 2054492 3081738 4108984 6163476 12326952