Is 490446049 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 490 446 049 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 490 446 049, the only two divisors are 1 and 490 446 049. Therefore 490 446 049 is a prime number.
As a consequence, 490 446 049 is only a multiple of 1 and 490 446 049.
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Since 490446049 is a prime number, 490446049 is also a deficient number, that is to say 490446049 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 490446049 without 490446049 itself (that is 1, by definition!).