Is 48978049 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 978 049 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 48 978 049, the only two divisors are 1 and 48 978 049. Therefore 48 978 049 is a prime number.
As a consequence, 48 978 049 is only a multiple of 1 and 48 978 049.
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Since 48978049 is a prime number, 48978049 is also a deficient number, that is to say 48978049 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48978049 without 48978049 itself (that is 1, by definition!).