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406085009 = 11107345017
BaseRepresentation
bin11000001101000…
…101110110010001
31001022010020220112
4120031011312101
51312424210014
6104143451105
713030444211
oct3015056621
91038106815
10406085009
11199251750
12b3bb6a95
13661921b5
143bd0a241
15259b673e
hex18345d91

406085009 has 8 divisors (see below), whose sum is σ = 447143328. Its totient is φ = 365716960.

The previous prime is 406085003. The next prime is 406085011. The reversal of 406085009 is 900580604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-406085009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406085003) 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 7 ways as a sum of consecutive naturals, for example, 171332 + ... + 173685.

It is an arithmetic number, because the mean of its divisors is an integer number (55892916).

Almost surely, 2406085009 is an apocalyptic number.

It is an amenable number.

406085009 is a deficient number, since it is larger than the sum of its proper divisors (41058319).

406085009 is a wasteful number, since it uses less digits than its factorization.

406085009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345135.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 406085009 is about 20151.5510321166. The cubic root of 406085009 is about 740.5237398969.

The spelling of 406085009 in words is "four hundred six million, eighty-five thousand, nine".

Divisors: 1 11 107 1177 345017 3795187 36916819 406085009