Is 46249729 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 46 249 729 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 46 249 729, the only two divisors are 1 and 46 249 729. Therefore 46 249 729 is a prime number.
As a consequence, 46 249 729 is only a multiple of 1 and 46 249 729.
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Since 46249729 is a prime number, 46249729 is also a deficient number, that is to say 46249729 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 46249729 without 46249729 itself (that is 1, by definition!).