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12493312 = 29131877
BaseRepresentation
bin101111101010…
…001000000000
3212111201121021
4233222020000
511144241222
61123435224
7211122436
oct57521000
925451537
1012493312
117063457
124225b14
1327856c0
141932d56
15116bac7
hexbea200

12493312 has 40 divisors (see below), whose sum is σ = 26896716. Its totient is φ = 5763072.

The previous prime is 12493307. The next prime is 12493321. The reversal of 12493312 is 21339421.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 215296 = 3504^2 + 464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5718 + ... + 7594.

Almost surely, 212493312 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 12493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448358).

12493312 is an abundant number, since it is smaller than the sum of its proper divisors (14403404).

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

12493312 is an equidigital number, since it uses as much as digits as its factorization.

12493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1892 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 12493312 is about 3534.5879533547. The cubic root of 12493312 is about 232.0380437017.

The spelling of 12493312 in words is "twelve million, four hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 1877 3328 3754 6656 7508 15016 24401 30032 48802 60064 97604 120128 195208 240256 390416 480512 780832 961024 1561664 3123328 6246656 12493312