Is 49378709 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 49 378 709 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 49 378 709, the only two divisors are 1 and 49 378 709. Therefore 49 378 709 is a prime number.
As a consequence, 49 378 709 is only a multiple of 1 and 49 378 709.
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Since 49378709 is a prime number, 49378709 is also a deficient number, that is to say 49378709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 49378709 without 49378709 itself (that is 1, by definition!).