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12338249 = 721122081
BaseRepresentation
bin101111000100…
…010001001001
3212012211220012
4233010101021
511124310444
61120241305
7206605400
oct57042111
925184805
1012338249
116a67a00
124170235
13272cc51
1418d2637
15113ab9e
hexbc4449

12338249 has 18 divisors (see below), whose sum is σ = 15783642. Its totient is φ = 9609600.

The previous prime is 12338233. The next prime is 12338273. The reversal of 12338249 is 94283321.

12338249 = T452 + T453 + ... + T549.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9966649 + 2371600 = 3157^2 + 1540^2 .

It is not a de Polignac number, because 12338249 - 24 = 12338233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12338219) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4889 + ... + 6969.

It is an arithmetic number, because the mean of its divisors is an integer number (876869).

Almost surely, 212338249 is an apocalyptic number.

It is an amenable number.

12338249 is a deficient number, since it is larger than the sum of its proper divisors (3445393).

12338249 is a wasteful number, since it uses less digits than its factorization.

12338249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2099 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 12338249 is about 3512.5843762108. The cubic root of 12338249 is about 231.0740503337.

The spelling of 12338249 in words is "twelve million, three hundred thirty-eight thousand, two hundred forty-nine".

Divisors: 1 7 11 49 77 121 539 847 2081 5929 14567 22891 101969 160237 251801 1121659 1762607 12338249