Is 49013933 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 49 013 933 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 49 013 933, the only two divisors are 1 and 49 013 933. Therefore 49 013 933 is a prime number.
As a consequence, 49 013 933 is only a multiple of 1 and 49 013 933.
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Since 49013933 is a prime number, 49013933 is also a deficient number, that is to say 49013933 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 49013933 without 49013933 itself (that is 1, by definition!).