Is 489649261 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 489 649 261 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 489 649 261, the only two divisors are 1 and 489 649 261. Therefore 489 649 261 is a prime number.
As a consequence, 489 649 261 is only a multiple of 1 and 489 649 261.
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Since 489649261 is a prime number, 489649261 is also a deficient number, that is to say 489649261 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 489649261 without 489649261 itself (that is 1, by definition!).