Is 48728209 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 728 209 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 48 728 209, the only two divisors are 1 and 48 728 209. Therefore 48 728 209 is a prime number.
As a consequence, 48 728 209 is only a multiple of 1 and 48 728 209.
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Since 48728209 is a prime number, 48728209 is also a deficient number, that is to say 48728209 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48728209 without 48728209 itself (that is 1, by definition!).