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12449117 = 174153337
BaseRepresentation
bin101111011111…
…010101011101
3212102110222102
4233133111131
511141332432
61122454445
7210546542
oct57372535
925373872
1012449117
11703322a
124204425
13276b555
141920bc9
15115d962
hexbdf55d

12449117 has 16 divisors (see below), whose sum is σ = 13798512. Its totient is φ = 11182080.

The previous prime is 12449111. The next prime is 12449119. The reversal of 12449117 is 71194421.

It can be written as a sum of positive squares in 8 ways, for example, as 241081 + 12208036 = 491^2 + 3494^2 .

It is a cyclic number.

It is not a de Polignac number, because 12449117 - 212 = 12445021 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12449117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12449111) 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 15 ways as a sum of consecutive naturals, for example, 36773 + ... + 37109.

It is an arithmetic number, because the mean of its divisors is an integer number (862407).

Almost surely, 212449117 is an apocalyptic number.

12449117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12449117 is a deficient number, since it is larger than the sum of its proper divisors (1349395).

12449117 is a wasteful number, since it uses less digits than its factorization.

12449117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

The product of its digits is 2016, while the sum is 29.

The square root of 12449117 is about 3528.3306250974. The cubic root of 12449117 is about 231.7641094720.

The spelling of 12449117 in words is "twelve million, four hundred forty-nine thousand, one hundred seventeen".

Divisors: 1 17 41 53 337 697 901 2173 5729 13817 17861 36941 234889 303637 732301 12449117