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BaseRepresentation
bin1011101101110101
32102211101
423231311
53013424
61010101
7256624
oct135565
972741
1047989
1133067
1223931
1318ac6
14136bb
15e344
hexbb75

47989 has 4 divisors (see below), whose sum is σ = 49324. Its totient is φ = 46656.

The previous prime is 47981. The next prime is 48017. The reversal of 47989 is 98974.

It is a happy number.

47989 is nontrivially palindromic in base 6.

47989 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46225 + 1764 = 215^2 + 42^2 .

It is a 3-Lehmer number, since φ(47989) divides (47989-1)3.

It is a cyclic number.

It is not a de Polignac number, because 47989 - 23 = 47981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37), and also a Moran number because the ratio is a prime number: 1297 = 47989 / (4 + 7 + 9 + 8 + 9).

It is a Duffinian number.

47989 is an undulating number in base 6.

47989 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47981) by changing a digit.

It is a nontrivial repunit in base 36.

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 in 3 ways as a sum of consecutive naturals, for example, 612 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (12331).

247989 is an apocalyptic number.

It is an amenable number.

47989 is a deficient number, since it is larger than the sum of its proper divisors (1335).

47989 is a wasteful number, since it uses less digits than its factorization.

47989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334.

The product of its digits is 18144, while the sum is 37.

The square root of 47989 is about 219.0639176131. The cubic root of 47989 is about 36.3396354881.

The spelling of 47989 in words is "forty-seven thousand, nine hundred eighty-nine".

Divisors: 1 37 1297 47989