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12468393 = 3274577
BaseRepresentation
bin101111100100…
…000010101001
3212110110102100
4233210002221
511142442033
61123124013
7210660000
oct57440251
925413370
1012468393
117046763
124213609
132777262
141927c37
151164513
hexbe40a9

12468393 has 30 divisors (see below), whose sum is σ = 21046714. Its totient is φ = 7112448.

The previous prime is 12468383. The next prime is 12468397. The reversal of 12468393 is 39386421.

It can be written as a sum of positive squares in only one way, i.e., 12446784 + 21609 = 3528^2 + 147^2 .

It is not a de Polignac number, because 12468393 - 24 = 12468377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12468397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21321 + ... + 21897.

Almost surely, 212468393 is an apocalyptic number.

It is an amenable number.

12468393 is a deficient number, since it is larger than the sum of its proper divisors (8578321).

12468393 is an frugal number, since it uses more digits than its factorization.

12468393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 587 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12468393 is about 3531.0611719425. The cubic root of 12468393 is about 231.8836676480.

The spelling of 12468393 in words is "twelve million, four hundred sixty-eight thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 49 63 147 343 441 577 1029 1731 2401 3087 4039 5193 7203 12117 21609 28273 36351 84819 197911 254457 593733 1385377 1781199 4156131 12468393