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9009009 = 33333667
BaseRepresentation
bin100010010111…
…011101110001
3121221201001000
4202113131301
54301242014
6521032213
7136401222
oct42273561
917851030
109009009
1150a3669
123025669
131b35799
1412a7249
15bce509
hex897771

9009009 has 8 divisors (see below), whose sum is σ = 13346720. Its totient is φ = 6005988.

The previous prime is 9008981. The next prime is 9009017.

9009009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9009009 - 29 = 9008497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 333667 = 9009009 / (9 + 0 + 0 + 9 + 0 + 0 + 9).

It is a Duffinian number.

9009009 is a modest number, since divided by 9009 gives 9 as remainder.

9009009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9009409) 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, 166807 + ... + 166860.

It is an arithmetic number, because the mean of its divisors is an integer number (1668340).

Almost surely, 29009009 is an apocalyptic number.

It is an amenable number.

9009009 is a deficient number, since it is larger than the sum of its proper divisors (4337711).

9009009 is a wasteful number, since it uses less digits than its factorization.

9009009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333676 (or 333670 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 9009009 is about 3001.5011244376. The cubic root of 9009009 is about 208.0777646233.

The spelling of 9009009 in words is "nine million, nine thousand, nine".

Divisors: 1 3 9 27 333667 1001001 3003003 9009009