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315169009 = 4124332
BaseRepresentation
bin10010110010010…
…001100011110001
3210222001020121021
4102302101203301
51121140402014
651135055441
710544615041
oct2262214361
9728036537
10315169009
111519a5161
1289671581
13503ac34c
142dc01721
151ca08624
hex12c918f1

315169009 has 9 divisors (see below), whose sum is σ = 323791329. Its totient is φ = 306771840.

The previous prime is 315169007. The next prime is 315169037. The reversal of 315169009 is 900961513.

The square root of 315169009 is 17753.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 225450225 + 89718784 = 15015^2 + 9472^2 .

It is not a de Polignac number, because 315169009 - 21 = 315169007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315169007) 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 8 ways as a sum of consecutive naturals, for example, 727657 + ... + 728089.

Almost surely, 2315169009 is an apocalyptic number.

315169009 is the 17753-rd square number.

315169009 is the 8877-th centered octagonal number.

It is an amenable number.

315169009 is a deficient number, since it is larger than the sum of its proper divisors (8622320).

315169009 is an frugal number, since it uses more digits than its factorization.

315169009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The cubic root of 315169009 is about 680.5308779659.

The spelling of 315169009 in words is "three hundred fifteen million, one hundred sixty-nine thousand, nine".

Divisors: 1 41 433 1681 17753 187489 727873 7687049 315169009