Is 489314849 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 489 314 849 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 489 314 849, the only two divisors are 1 and 489 314 849. Therefore 489 314 849 is a prime number.
As a consequence, 489 314 849 is only a multiple of 1 and 489 314 849.
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Since 489314849 is a prime number, 489314849 is also a deficient number, that is to say 489314849 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 489314849 without 489314849 itself (that is 1, by definition!).