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14828429 = 721124161
BaseRepresentation
bin111000100100…
…001110001101
31000220100210002
4320210032031
512244002204
61245454045
7240016400
oct70441615
930810702
1014828429
118408900
124b71325
1330c2525
141d7dd37
15147d91e
hexe2438d

14828429 has 36 divisors (see below), whose sum is σ = 19740924. Its totient is φ = 11088000.

The previous prime is 14828423. The next prime is 14828441. The reversal of 14828429 is 92482841.

It can be written as a sum of positive squares in 2 ways, for example, as 592900 + 14235529 = 770^2 + 3773^2 .

It is not a de Polignac number, because 14828429 - 24 = 14828413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14828392 and 14828401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14828423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243059 + ... + 243119.

It is an arithmetic number, because the mean of its divisors is an integer number (548359).

Almost surely, 214828429 is an apocalyptic number.

It is an amenable number.

14828429 is a deficient number, since it is larger than the sum of its proper divisors (4912495).

14828429 is a wasteful number, since it uses less digits than its factorization.

14828429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 14828429 is about 3850.7699230154. The cubic root of 14828429 is about 245.6773095065.

The spelling of 14828429 in words is "fourteen million, eight hundred twenty-eight thousand, four hundred twenty-nine".

Divisors: 1 7 11 41 49 61 77 121 287 427 451 539 671 847 2009 2501 2989 3157 4697 4961 5929 7381 17507 22099 27511 32879 34727 51667 122549 192577 243089 302621 361669 1348039 2118347 14828429