It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 648 is not a prime number.
For example, 38 648 can be divided by 2: 38 648 / 2 = 19 324.
For 38 648 to be a prime number, it would have been required that 38 648 has only two divisors, i.e., itself and 1.
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38 648 is an even number, because it is evenly divisible by 2: 38 648 / 2 = 19 324.
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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 38 648 is about 196.591.
Thus, the square root of 38 648 is not an integer, and therefore 38 648 is not a square number.
The square of a number (here 38 648) is the result of the product of this number (38 648) by itself (i.e., 38 648 × 38 648); the square of 38 648 is sometimes called "raising 38 648 to the power 2", or "38 648 squared".
The square of 38 648 is 1 493 667 904 because 38 648 × 38 648 = 38 6482 = 1 493 667 904.
As a consequence, 38 648 is the square root of 1 493 667 904.
The multiples of 38 648 are all integers evenly divisible by 38 648, that is all numbers such that the remainder of the division by 38 648 is zero. There are infinitely many multiples of 38 648. The smallest multiples of 38 648 are: