Is 4049 a prime number? What are the divisors of 4049?

## Is 4049 a prime number?

Yes, 4049 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 4049, the only two divisors are 1 and 4049. Therefore 4049 is a prime number.

As a consequence, 4049 is only a multiple of 1 and 4049.

Since 4049 is a prime number, 4049 is also a deficient number, that is to say 4049 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4049 without 4049 itself (that is 1, by definition!).

## Parity of 4049

4049 is an odd number, because it is not evenly divisible by 2.

## Is 4049 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 4049 is about 63.632.

Thus, the square root of 4049 is not an integer, and therefore 4049 is not a square number.

Anyway, 4049 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4049?

The square of a number (here 4049) is the result of the product of this number (4049) by itself (i.e., 4049 × 4049); the square of 4049 is sometimes called "raising 4049 to the power 2", or "4049 squared".

The square of 4049 is 16 394 401 because 4049 × 4049 = 40492 = 16 394 401.

As a consequence, 4049 is the square root of 16 394 401.

## Number of digits of 4049

4049 is a number with 4 digits.

## What are the multiples of 4049?

The multiples of 4049 are all integers evenly divisible by 4049, that is all numbers such that the remainder of the division by 4049 is zero. There are infinitely many multiples of 4049. The smallest multiples of 4049 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4049 too, since 0 × 4049 = 0
• 4049: indeed, 4049 is a multiple of itself, since 4049 is evenly divisible by 4049 (we have 4049 / 4049 = 1, so the remainder of this division is indeed zero)
• 8 098: indeed, 8 098 = 4049 × 2
• 12 147: indeed, 12 147 = 4049 × 3
• 16 196: indeed, 16 196 = 4049 × 4
• 20 245: indeed, 20 245 = 4049 × 5
• etc.

## Nearest numbers from 4049

Find out whether some integer is a prime number