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12447641 = 19229241
BaseRepresentation
bin101111011110…
…111110011001
3212102101221202
4233132332121
511141311031
61122443545
7210542333
oct57367631
925371852
1012447641
117032108
1242035b5
13276a98b
141920453
15115d2cb
hexbdef99

12447641 has 18 divisors (see below), whose sum is σ = 13937742. Its totient is φ = 11108160.

The previous prime is 12447613. The next prime is 12447667. The reversal of 12447641 is 14674421.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 225625 + 12222016 = 475^2 + 3496^2 .

It is not a de Polignac number, because 12447641 - 218 = 12185497 is a prime.

It is a super-3 number, since 3×124476413 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12447601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 303581 + ... + 303621.

It is an arithmetic number, because the mean of its divisors is an integer number (774319).

Almost surely, 212447641 is an apocalyptic number.

It is an amenable number.

12447641 is a deficient number, since it is larger than the sum of its proper divisors (1490101).

12447641 is an equidigital number, since it uses as much as digits as its factorization.

12447641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 12447641 is about 3528.1214548255. The cubic root of 12447641 is about 231.7549495895.

The spelling of 12447641 in words is "twelve million, four hundred forty-seven thousand, six hundred forty-one".

Divisors: 1 19 29 41 361 551 779 841 1189 10469 14801 15979 22591 34481 303601 429229 655139 12447641