Is 472993 a prime number?

472 993 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 472 993 is about 687.745.

Thus, the square root of 472 993 is not an integer, and therefore 472 993 is not a square number.

Anyway, 472 993 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 472 993) is the result of the product of this number (472 993) by itself (i.e., 472 993 × 472 993); the square of 472 993 is sometimes called "raising 472 993 to the power 2", or "472 993 squared".

The square of 472 993 is 223 722 378 049 because 472 993 × 472 993 = 472 993² = 223 722 378 049.

As a consequence, 472 993 is the square root of 223 722 378 049.

472 993 is a number with 6 digits.

The multiples of 472 993 are all integers evenly divisible by 472 993, that is all numbers such that the remainder of the division by 472 993 is zero. There are infinitely many multiples of 472 993. The smallest multiples of 472 993 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 472 993 too, since 0 × 472 993 = 0
• 472 993: indeed, 472 993 is a multiple of itself, since 472 993 is evenly divisible by 472 993 (we have 472 993 / 472 993 = 1, so the remainder of this division is indeed zero)
• 945 986: indeed, 945 986 = 472 993 × 2
• 1 418 979: indeed, 1 418 979 = 472 993 × 3
• 1 891 972: indeed, 1 891 972 = 472 993 × 4
• 2 364 965: indeed, 2 364 965 = 472 993 × 5
• etc.

• Preceding numbers: …472 991, 472 992
• Following numbers: 472 994, 472 995…

Nearest numbers from 472 993

• Preceding prime number: 472 963
• Following prime number: 473 009

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• 472 993 est-il un nombre premier ?