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12849768 = 2332178469
BaseRepresentation
bin110001000001…
…001001101000
3220011211120100
4301001021220
511242143033
61135225400
7214135611
oct61011150
926154510
1012849768
117287248
124378260
13287ba19
1419c6c08
1511dc513
hexc41268

12849768 has 24 divisors (see below), whose sum is σ = 34801650. Its totient is φ = 4283232.

The previous prime is 12849763. The next prime is 12849791. The reversal of 12849768 is 86794821.

It can be written as a sum of positive squares in only one way, i.e., 12830724 + 19044 = 3582^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (12849761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89163 + ... + 89306.

Almost surely, 212849768 is an apocalyptic number.

12849768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12849768 is an abundant number, since it is smaller than the sum of its proper divisors (21951882).

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

12849768 is a wasteful number, since it uses less digits than its factorization.

12849768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178481 (or 178474 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 12849768 is about 3584.6573057965. The cubic root of 12849768 is about 234.2241988860.

The spelling of 12849768 in words is "twelve million, eight hundred forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 178469 356938 535407 713876 1070814 1427752 1606221 2141628 3212442 4283256 6424884 12849768