Is 49308491 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 49 308 491 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 49 308 491, the only two divisors are 1 and 49 308 491. Therefore 49 308 491 is a prime number.
As a consequence, 49 308 491 is only a multiple of 1 and 49 308 491.
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Since 49308491 is a prime number, 49308491 is also a deficient number, that is to say 49308491 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 49308491 without 49308491 itself (that is 1, by definition!).