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47981 is a prime number
BaseRepresentation
bin1011101101101101
32102211002
423231231
53013411
61010045
7256613
oct135555
972732
1047981
113305a
1223925
1318abb
14136b3
15e33b
hexbb6d

47981 has 2 divisors, whose sum is σ = 47982. Its totient is φ = 47980.

The previous prime is 47977. The next prime is 48017. The reversal of 47981 is 18974.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 11881 = 190^2 + 109^2 .

It is a cyclic number.

It is not a de Polignac number, because 47981 - 22 = 47977 is a prime.

It is a super-2 number, since 2×479812 = 4604352722, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 8 and base 13.

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 47981.

It is not a weakly prime, because it can be changed into another prime (47911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23990 + 23991.

It is an arithmetic number, because the mean of its divisors is an integer number (23991).

247981 is an apocalyptic number.

It is an amenable number.

47981 is a deficient number, since it is larger than the sum of its proper divisors (1).

47981 is an equidigital number, since it uses as much as digits as its factorization.

47981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 47981 is about 219.0456573411. The cubic root of 47981 is about 36.3376160445.

The spelling of 47981 in words is "forty-seven thousand, nine hundred eighty-one".