Is 48426691 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 48 426 691 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 48 426 691, the only two divisors are 1 and 48 426 691. Therefore 48 426 691 is a prime number.
As a consequence, 48 426 691 is only a multiple of 1 and 48 426 691.
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Since 48426691 is a prime number, 48426691 is also a deficient number, that is to say 48426691 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 48426691 without 48426691 itself (that is 1, by definition!).