Search a number
47873 = 72977
BaseRepresentation
bin1011101100000001
32102200002
423230001
53012443
61005345
7256400
oct135401
972602
1047873
1132a71
1223855
1318a37
1413637
15e2b8
hexbb01

47873 has 6 divisors (see below), whose sum is σ = 55746. Its totient is φ = 40992.

The previous prime is 47869. The next prime is 47881. The reversal of 47873 is 37874.

It can be written as a sum of positive squares in only one way, i.e., 47089 + 784 = 217^2 + 28^2 .

It is not a de Polignac number, because 47873 - 22 = 47869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 440 + ... + 537.

It is an arithmetic number, because the mean of its divisors is an integer number (9291).

It is a Proth number, since it is equal to 187 ⋅ 28 + 1 and 187 < 28.

247873 is an apocalyptic number.

It is an amenable number.

47873 is a deficient number, since it is larger than the sum of its proper divisors (7873).

47873 is an equidigital number, since it uses as much as digits as its factorization.

47873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 47873 is about 218.7989945132. The cubic root of 47873 is about 36.3103315587.

Subtracting from 47873 its reverse (37874), we obtain a palindrome (9999).

The spelling of 47873 in words is "forty-seven thousand, eight hundred seventy-three".

Divisors: 1 7 49 977 6839 47873