Is 48649567 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 649 567 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 48 649 567, the only two divisors are 1 and 48 649 567. Therefore 48 649 567 is a prime number.
As a consequence, 48 649 567 is only a multiple of 1 and 48 649 567.
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Since 48649567 is a prime number, 48649567 is also a deficient number, that is to say 48649567 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48649567 without 48649567 itself (that is 1, by definition!).