Is 38402849 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 38 402 849 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 38 402 849, the only two divisors are 1 and 38 402 849. Therefore 38 402 849 is a prime number.
As a consequence, 38 402 849 is only a multiple of 1 and 38 402 849.
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Since 38402849 is a prime number, 38402849 is also a deficient number, that is to say 38402849 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 38402849 without 38402849 itself (that is 1, by definition!).