Is 49252309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 49 252 309 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 49 252 309, the only two divisors are 1 and 49 252 309. Therefore 49 252 309 is a prime number.
As a consequence, 49 252 309 is only a multiple of 1 and 49 252 309.
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Since 49252309 is a prime number, 49252309 is also a deficient number, that is to say 49252309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 49252309 without 49252309 itself (that is 1, by definition!).