2549

2549 is a natural number that lies between 2548 and 2550. In mathematics, it is notable for being a prime number and for its simple representations in multiple bases.

As a prime number, 2549 has only two positive divisors: 1 and itself. It is odd and not divisible by 2, 3, or 5. Because 2549 ≡ 1 (mod 4), it can be expressed as a sum of two squares: 2549 = 7^2 + 50^2.

Representations of 2549 in common numeral systems include Roman numerals, hexadecimal, and binary. In Roman numerals, 2549 is written as MMDXLIX. In hexadecimal, it is 0x9F5, since 9 × 256 + 15 × 16 + 5 = 2549. In binary, 2549 equals 100111110101, corresponding to 2^11 + 2^8 + 2^7 + 2^6 + 2^5 + 2^4 + 2^2 + 2^0.

As a calendar year, 2549 CE would occur in the 26th century. In general use, the year carries no widely recognized historical events by itself and is typically treated as a future date in speculative contexts or numerical calculations.