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12948949 = 132193397
BaseRepresentation
bin110001011001…
…010111010101
3220100212121201
4301121113111
511303331244
61141312501
7215031016
oct61312725
926325551
1012948949
117344812
124405731
1328b4c00
141a1100d
15120bad4
hexc595d5

12948949 has 12 divisors (see below), whose sum is σ = 14129796. Its totient is φ = 11860992.

The previous prime is 12948911. The next prime is 12948961. The reversal of 12948949 is 94984921.

It can be written as a sum of positive squares in 6 ways, for example, as 2340900 + 10608049 = 1530^2 + 3257^2 .

It is not a de Polignac number, because 12948949 - 219 = 12424661 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12948899 and 12948908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12948349) 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 11 ways as a sum of consecutive naturals, for example, 32419 + ... + 32815.

It is an arithmetic number, because the mean of its divisors is an integer number (1177483).

Almost surely, 212948949 is an apocalyptic number.

It is an amenable number.

12948949 is a deficient number, since it is larger than the sum of its proper divisors (1180847).

12948949 is a wasteful number, since it uses less digits than its factorization.

12948949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 12948949 is about 3598.4648115551. The cubic root of 12948949 is about 234.8252752834.

The spelling of 12948949 in words is "twelve million, nine hundred forty-eight thousand, nine hundred forty-nine".

Divisors: 1 13 169 193 397 2509 5161 32617 67093 76621 996073 12948949