Is 48938293 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 938 293 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 48 938 293, the only two divisors are 1 and 48 938 293. Therefore 48 938 293 is a prime number.
As a consequence, 48 938 293 is only a multiple of 1 and 48 938 293.
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Since 48938293 is a prime number, 48938293 is also a deficient number, that is to say 48938293 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48938293 without 48938293 itself (that is 1, by definition!).