Is 49477 a prime number? What are the divisors of 49477?

## Is 49477 a prime number?

Yes, 49477 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 49477, the only two divisors are 1 and 49477. Therefore 49477 is a prime number.

As a consequence, 49477 is only a multiple of 1 and 49477.

Since 49477 is a prime number, 49477 is also a deficient number, that is to say 49477 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 49477 without 49477 itself (that is 1, by definition!).

## Parity of 49477

49477 is an odd number, because it is not evenly divisible by 2.

## Is 49477 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 49477 is about 222.434.

Thus, the square root of 49477 is not an integer, and therefore 49477 is not a square number.

Anyway, 49477 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 49477?

The square of a number (here 49477) is the result of the product of this number (49477) by itself (i.e., 49477 × 49477); the square of 49477 is sometimes called "raising 49477 to the power 2", or "49477 squared".

The square of 49477 is 2 447 973 529 because 49477 × 49477 = 494772 = 2 447 973 529.

As a consequence, 49477 is the square root of 2 447 973 529.

## Number of digits of 49477

49477 is a number with 5 digits.

## What are the multiples of 49477?

The multiples of 49477 are all integers evenly divisible by 49477, that is all numbers such that the remainder of the division by 49477 is zero. There are infinitely many multiples of 49477. The smallest multiples of 49477 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 49477 too, since 0 × 49477 = 0
• 49477: indeed, 49477 is a multiple of itself, since 49477 is evenly divisible by 49477 (we have 49477 / 49477 = 1, so the remainder of this division is indeed zero)
• 98 954: indeed, 98 954 = 49477 × 2
• 148 431: indeed, 148 431 = 49477 × 3
• 197 908: indeed, 197 908 = 49477 × 4
• 247 385: indeed, 247 385 = 49477 × 5
• etc.

## Nearest numbers from 49477

Find out whether some integer is a prime number