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404106209 = 1324158321
BaseRepresentation
bin11000000101100…
…010101111100001
31001011101201111122
4120011202233201
51311422344314
6104033222025
713004563133
oct3005425741
91034351448
10404106209
1119811aa81
12b3401915
136594b600
143b953053
152572528e
hex18162be1

404106209 has 12 divisors (see below), whose sum is σ = 448262892. Its totient is φ = 363916800.

The previous prime is 404106203. The next prime is 404106259. The reversal of 404106209 is 902601404.

It can be written as a sum of positive squares in 6 ways, for example, as 289680400 + 114425809 = 17020^2 + 10697^2 .

It is a de Polignac number, because none of the positive numbers 2k-404106209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404106203) 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, 22232 + ... + 36089.

It is an arithmetic number, because the mean of its divisors is an integer number (37355241).

Almost surely, 2404106209 is an apocalyptic number.

It is an amenable number.

404106209 is a deficient number, since it is larger than the sum of its proper divisors (44156683).

404106209 is a wasteful number, since it uses less digits than its factorization.

404106209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58388 (or 58375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 404106209 is about 20102.3931162436. The cubic root of 404106209 is about 739.3189552173.

The spelling of 404106209 in words is "four hundred four million, one hundred six thousand, two hundred nine".

Divisors: 1 13 41 169 533 6929 58321 758173 2391161 9856249 31085093 404106209