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9000249 = 328310601
BaseRepresentation
bin100010010101…
…010100111001
3121221021000120
4202111110321
54301001444
6520523453
7136333536
oct42252471
917837016
109000249
115098025
123020589
131b317bb
1412a3d8d
15bcbb19
hex895539

9000249 has 8 divisors (see below), whose sum is σ = 12043872. Its totient is φ = 5978400.

The previous prime is 9000223. The next prime is 9000253. The reversal of 9000249 is 9420009.

9000249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 9000249 - 25 = 9000217 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

9000249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9000209) 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 7 ways as a sum of consecutive naturals, for example, 4452 + ... + 6149.

It is an arithmetic number, because the mean of its divisors is an integer number (1505484).

Almost surely, 29000249 is an apocalyptic number.

It is an amenable number.

9000249 is a deficient number, since it is larger than the sum of its proper divisors (3043623).

9000249 is a wasteful number, since it uses less digits than its factorization.

9000249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10887.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 9000249 is about 3000.0414997130. The cubic root of 9000249 is about 208.0103005870.

The spelling of 9000249 in words is "nine million, two hundred forty-nine", and thus it is an aban number.

Divisors: 1 3 283 849 10601 31803 3000083 9000249