Is 56009 a prime number?

56 009 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 56 009 is about 236.662.

Thus, the square root of 56 009 is not an integer, and therefore 56 009 is not a square number.

Anyway, 56 009 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 56 009) is the result of the product of this number (56 009) by itself (i.e., 56 009 × 56 009); the square of 56 009 is sometimes called "raising 56 009 to the power 2", or "56 009 squared".

The square of 56 009 is 3 137 008 081 because 56 009 × 56 009 = 56 009² = 3 137 008 081.

As a consequence, 56 009 is the square root of 3 137 008 081.

56 009 is a number with 5 digits.

The multiples of 56 009 are all integers evenly divisible by 56 009, that is all numbers such that the remainder of the division by 56 009 is zero. There are infinitely many multiples of 56 009. The smallest multiples of 56 009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 56 009 too, since 0 × 56 009 = 0
• 56 009: indeed, 56 009 is a multiple of itself, since 56 009 is evenly divisible by 56 009 (we have 56 009 / 56 009 = 1, so the remainder of this division is indeed zero)
• 112 018: indeed, 112 018 = 56 009 × 2
• 168 027: indeed, 168 027 = 56 009 × 3
• 224 036: indeed, 224 036 = 56 009 × 4
• 280 045: indeed, 280 045 = 56 009 × 5
• etc.

• Preceding numbers: …56 007, 56 008
• Following numbers: 56 010, 56 011…

Nearest numbers from 56 009

• Preceding prime number: 56 003
• Following prime number: 56 039

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• 56 009 est-il un nombre premier ?