Search a number
-
+
33149009 = 53211801
BaseRepresentation
bin111111001110…
…1000001010001
32022101010220002
41332131001101
531441232014
63142255345
7551522225
oct176350121
968333802
1033149009
1117791383
12b127555
136b383ca
14458c785
152d9bdde
hex1f9d051

33149009 has 6 divisors (see below), whose sum is σ = 33789126. Its totient is φ = 32520800.

The previous prime is 33148979. The next prime is 33149021. The reversal of 33149009 is 90094133.

It can be written as a sum of positive squares in 3 ways, for example, as 11730625 + 21418384 = 3425^2 + 4628^2 .

It is a de Polignac number, because none of the positive numbers 2k-33149009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33145009) 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 5 ways as a sum of consecutive naturals, for example, 3092 + ... + 8709.

It is an arithmetic number, because the mean of its divisors is an integer number (5631521).

Almost surely, 233149009 is an apocalyptic number.

It is an amenable number.

33149009 is a deficient number, since it is larger than the sum of its proper divisors (640117).

33149009 is an equidigital number, since it uses as much as digits as its factorization.

33149009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 33149009 is about 5757.5176074416. The cubic root of 33149009 is about 321.2354874416.

The spelling of 33149009 in words is "thirty-three million, one hundred forty-nine thousand, nine".

Divisors: 1 53 2809 11801 625453 33149009