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48017 is a prime number
BaseRepresentation
bin1011101110010001
32102212102
423232101
53014032
61010145
7256664
oct135621
972772
1048017
1133092
1223955
1318b18
14136db
15e362
hexbb91

48017 has 2 divisors, whose sum is σ = 48018. Its totient is φ = 48016.

The previous prime is 47981. The next prime is 48023. The reversal of 48017 is 71084.

It is a happy number.

48017 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33856 + 14161 = 184^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 48017 - 210 = 46993 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 48017.

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 48017.

It is not a weakly prime, because it can be changed into another prime (48817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24008 + 24009.

It is an arithmetic number, because the mean of its divisors is an integer number (24009).

248017 is an apocalyptic number.

It is an amenable number.

48017 is a deficient number, since it is larger than the sum of its proper divisors (1).

48017 is an equidigital number, since it uses as much as digits as its factorization.

48017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 48017 is about 219.1278165820. The cubic root of 48017 is about 36.3467017739.

The spelling of 48017 in words is "forty-eight thousand, seventeen".