Is 49609673 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 49 609 673 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 49 609 673, the only two divisors are 1 and 49 609 673. Therefore 49 609 673 is a prime number.
As a consequence, 49 609 673 is only a multiple of 1 and 49 609 673.
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Since 49609673 is a prime number, 49609673 is also a deficient number, that is to say 49609673 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 49609673 without 49609673 itself (that is 1, by definition!).