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12936392 = 237261541
BaseRepresentation
bin110001010110…
…010011001000
3220100020101122
4301112103020
511302431032
61141134412
7214646300
oct61262310
926306348
1012936392
117336337
1243ba408
1328ac291
141a0a600
151208012
hexc564c8

12936392 has 48 divisors (see below), whose sum is σ = 28731420. Its totient is φ = 5443200.

The previous prime is 12936317. The next prime is 12936401. The reversal of 12936392 is 29363921.

12936392 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 11383876 + 1552516 = 3374^2 + 1246^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23642 + ... + 24182.

Almost surely, 212936392 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 12936392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365710).

12936392 is an abundant number, since it is smaller than the sum of its proper divisors (15795028).

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

12936392 is a wasteful number, since it uses less digits than its factorization.

12936392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 611 counting only the distinct ones).

The product of its digits is 17496, while the sum is 35.

The square root of 12936392 is about 3596.7196165395. The cubic root of 12936392 is about 234.7493449346.

The spelling of 12936392 in words is "twelve million, nine hundred thirty-six thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 392 427 488 541 854 1082 1708 2164 2989 3416 3787 4328 5978 7574 11956 15148 23912 26509 30296 33001 53018 66002 106036 132004 212072 231007 264008 462014 924028 1617049 1848056 3234098 6468196 12936392