It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 38 388 is not a prime number.
For example, 38 388 can be divided by 2: 38 388 / 2 = 19 194.
For 38 388 to be a prime number, it would have been required that 38 388 has only two divisors, i.e., itself and 1.
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38 388 is an even number, because it is evenly divisible by 2: 38 388 / 2 = 19 194.
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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 38 388 is about 195.929.
Thus, the square root of 38 388 is not an integer, and therefore 38 388 is not a square number.
The square of a number (here 38 388) is the result of the product of this number (38 388) by itself (i.e., 38 388 × 38 388); the square of 38 388 is sometimes called "raising 38 388 to the power 2", or "38 388 squared".
The square of 38 388 is 1 473 638 544 because 38 388 × 38 388 = 38 3882 = 1 473 638 544.
As a consequence, 38 388 is the square root of 1 473 638 544.
The multiples of 38 388 are all integers evenly divisible by 38 388, that is all numbers such that the remainder of the division by 38 388 is zero. There are infinitely many multiples of 38 388. The smallest multiples of 38 388 are: