Is 48628627 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 628 627 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 48 628 627, the only two divisors are 1 and 48 628 627. Therefore 48 628 627 is a prime number.
As a consequence, 48 628 627 is only a multiple of 1 and 48 628 627.
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Since 48628627 is a prime number, 48628627 is also a deficient number, that is to say 48628627 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48628627 without 48628627 itself (that is 1, by definition!).