2809

2809 is a natural number that comes after 2808 and before 2810. In decimal notation it is written as 2809.

In mathematics, 2809 is a perfect square, equal to 53 squared. Because 53 is a prime number, the prime factorization of 2809 is 53^2. The number is also congruent to 1 modulo 8 and 1 modulo 9 (2809 ≡ 1 (mod 8) and 2809 ≡ 1 (mod 9)). The sum of its digits is 19, giving a digital root of 1.

In Roman numerals, 2809 is written as MMDCCCIX, formed from MM (2000) + DCCC (800) + IX (9).

In other common numeral systems, 2809 equals 0xAF9 in hexadecimal and 101011111001 in binary. If padded to 16 bits, the binary representation is 0000101011111001.

As the square of a prime (53^2), 2809 is sometimes cited in discussions of square numbers and prime squares. Beyond its status as a square and its basic representations, 2809 does not have widely noted mathematical constants or special properties.