Is 49378759 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 49 378 759 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 49 378 759, the only two divisors are 1 and 49 378 759. Therefore 49 378 759 is a prime number.
As a consequence, 49 378 759 is only a multiple of 1 and 49 378 759.
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Since 49378759 is a prime number, 49378759 is also a deficient number, that is to say 49378759 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 49378759 without 49378759 itself (that is 1, by definition!).