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39293 is a prime number
BaseRepresentation
bin1001100101111101
31222220022
421211331
52224133
6501525
7222362
oct114575
958808
1039293
1127581
121a8a5
1314b67
1410469
15b998
hex997d

39293 has 2 divisors, whose sum is σ = 39294. Its totient is φ = 39292.

The previous prime is 39251. The next prime is 39301.

39293 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38809 + 484 = 197^2 + 22^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 39293 - 26 = 39229 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39293.

It is not a weakly prime, because it can be changed into another prime (39233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19646 + 19647.

It is an arithmetic number, because the mean of its divisors is an integer number (19647).

239293 is an apocalyptic number.

It is an amenable number.

39293 is a deficient number, since it is larger than the sum of its proper divisors (1).

39293 is an equidigital number, since it uses as much as digits as its factorization.

39293 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1458, while the sum is 26.

The square root of 39293 is about 198.2246200652. The cubic root of 39293 is about 33.9968278471.

The spelling of 39293 in words is "thirty-nine thousand, two hundred ninety-three".