Is 42193 a prime number?

42 193 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 42 193 is about 205.409.

Thus, the square root of 42 193 is not an integer, and therefore 42 193 is not a square number.

Anyway, 42 193 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 42 193) is the result of the product of this number (42 193) by itself (i.e., 42 193 × 42 193); the square of 42 193 is sometimes called "raising 42 193 to the power 2", or "42 193 squared".

The square of 42 193 is 1 780 249 249 because 42 193 × 42 193 = 42 193² = 1 780 249 249.

As a consequence, 42 193 is the square root of 1 780 249 249.

42 193 is a number with 5 digits.

The multiples of 42 193 are all integers evenly divisible by 42 193, that is all numbers such that the remainder of the division by 42 193 is zero. There are infinitely many multiples of 42 193. The smallest multiples of 42 193 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 42 193 too, since 0 × 42 193 = 0
• 42 193: indeed, 42 193 is a multiple of itself, since 42 193 is evenly divisible by 42 193 (we have 42 193 / 42 193 = 1, so the remainder of this division is indeed zero)
• 84 386: indeed, 84 386 = 42 193 × 2
• 126 579: indeed, 126 579 = 42 193 × 3
• 168 772: indeed, 168 772 = 42 193 × 4
• 210 965: indeed, 210 965 = 42 193 × 5
• etc.

• Preceding numbers: …42 191, 42 192
• Following numbers: 42 194, 42 195…

Nearest numbers from 42 193

• Preceding prime number: 42 187
• Following prime number: 42 197

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• 42 193 est-il un nombre premier ?