4849

4849 is a natural number that lies between 4848 and 4850. It is an odd, composite number with a prime factorization of 13 × 373.

Its divisors are 1, 13, 373, and 4849. Because the prime factors are distinct, 4849 is squarefree. The number of divisors is 4. Euler's totient function gives φ(4849) = (13−1)(373−1) = 12 × 372 = 4464.

In common bases, 4849 is represented as follows: binary 1001011110001₂, octal 11361₈, and hexadecimal 12F1₁₆.

A notable arithmetic property is that 4849 can be expressed as a sum of two squares in more than one way. Since both prime factors are congruent to 1 modulo 4, their product is representable as a sum of two squares. Indeed, 4849 = 40^2 + 57^2 = 68^2 + 15^2, illustrating two distinct representations.

Additional context: as a semiprime (the product of two distinct primes), 4849 has a simple divisor structure and serves as an example in discussions of factorization and sums of squares. Its modular characteristics include being congruent to 1 modulo 4 and modulo 12, reflecting its factorization by primes that are each 1 mod 4.