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12963249 = 32131011097
BaseRepresentation
bin110001011100…
…110110110001
3220101121020100
4301130312301
511304310444
61141503013
7215120505
oct61346661
926347210
1012963249
117354532
124411a69
1328bb580
141a16305
151210e69
hexc5cdb1

12963249 has 24 divisors (see below), whose sum is σ = 20383272. Its totient is φ = 7891200.

The previous prime is 12963233. The next prime is 12963277. The reversal of 12963249 is 94236921.

12963249 is a `hidden beast` number, since 12 + 9 + 632 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1774224 + 11189025 = 1332^2 + 3345^2 .

It is not a de Polignac number, because 12963249 - 24 = 12963233 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12963229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11269 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (849303).

Almost surely, 212963249 is an apocalyptic number.

It is an amenable number.

12963249 is a deficient number, since it is larger than the sum of its proper divisors (7420023).

12963249 is a wasteful number, since it uses less digits than its factorization.

12963249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1214 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 12963249 is about 3600.4512217221. The cubic root of 12963249 is about 234.9116855415.

It can be divided in two parts, 1296 and 3249, that multiplied together give a square (4210704 = 20522).

The spelling of 12963249 in words is "twelve million, nine hundred sixty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 13 39 101 117 303 909 1097 1313 3291 3939 9873 11817 14261 42783 110797 128349 332391 997173 1440361 4321083 12963249