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413289929 = 13113353797
BaseRepresentation
bin11000101000100…
…100110111001001
31001210200022012102
4120220210313021
51321300234204
6105002123145
713145622623
oct3050446711
91053608172
10413289929
111a2322928
12b64b04b5
1367815770
143cc63c13
152643b41e
hex18a24dc9

413289929 has 16 divisors (see below), whose sum is σ = 450857232. Its totient is φ = 376578048.

The previous prime is 413289913. The next prime is 413289931. The reversal of 413289929 is 929982314.

It can be written as a sum of positive squares in 8 ways, for example, as 122655625 + 290634304 = 11075^2 + 17048^2 .

It is a cyclic number.

It is not a de Polignac number, because 413289929 - 24 = 413289913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413289949) 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 15 ways as a sum of consecutive naturals, for example, 518159 + ... + 518955.

It is an arithmetic number, because the mean of its divisors is an integer number (28178577).

Almost surely, 2413289929 is an apocalyptic number.

It is an amenable number.

413289929 is a deficient number, since it is larger than the sum of its proper divisors (37567303).

413289929 is a wasteful number, since it uses less digits than its factorization.

413289929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276.

The product of its digits is 279936, while the sum is 47.

The square root of 413289929 is about 20329.5334181579. The cubic root of 413289929 is about 744.8776454769.

The spelling of 413289929 in words is "four hundred thirteen million, two hundred eighty-nine thousand, nine hundred twenty-nine".

Divisors: 1 13 113 353 797 1469 4589 10361 39889 90061 281341 518557 1170793 3657433 31791533 413289929