Is 490246489 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 490 246 489 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 490 246 489, the only two divisors are 1 and 490 246 489. Therefore 490 246 489 is a prime number.
As a consequence, 490 246 489 is only a multiple of 1 and 490 246 489.
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Since 490246489 is a prime number, 490246489 is also a deficient number, that is to say 490246489 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 490246489 without 490246489 itself (that is 1, by definition!).
