Is 49993 a prime number?

49 993 is an odd number, because it is not evenly divisible by 2.

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• What is an even 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 49 993 is about 223.591.

Thus, the square root of 49 993 is not an integer, and therefore 49 993 is not a square number.

Anyway, 49 993 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 49 993) is the result of the product of this number (49 993) by itself (i.e., 49 993 × 49 993); the square of 49 993 is sometimes called "raising 49 993 to the power 2", or "49 993 squared".

The square of 49 993 is 2 499 300 049 because 49 993 × 49 993 = 49 993² = 2 499 300 049.

As a consequence, 49 993 is the square root of 2 499 300 049.

49 993 is a number with 5 digits.

The multiples of 49 993 are all integers evenly divisible by 49 993, that is all numbers such that the remainder of the division by 49 993 is zero. There are infinitely many multiples of 49 993. The smallest multiples of 49 993 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 49 993 too, since 0 × 49 993 = 0
• 49 993: indeed, 49 993 is a multiple of itself, since 49 993 is evenly divisible by 49 993 (we have 49 993 / 49 993 = 1, so the remainder of this division is indeed zero)
• 99 986: indeed, 99 986 = 49 993 × 2
• 149 979: indeed, 149 979 = 49 993 × 3
• 199 972: indeed, 199 972 = 49 993 × 4
• 249 965: indeed, 249 965 = 49 993 × 5
• etc.

• Preceding numbers: …49 991, 49 992
• Following numbers: 49 994, 49 995…

Nearest numbers from 49 993

• Preceding prime number: 49 991
• Following prime number: 49 999

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• 49 993 est-il un nombre premier ?