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47999 = 76857
BaseRepresentation
bin1011101101111111
32102211202
423231333
53013444
61010115
7256640
oct135577
972752
1047999
1133076
122393b
1318b03
14136c7
15e34e
hexbb7f

47999 has 4 divisors (see below), whose sum is σ = 54864. Its totient is φ = 41136.

The previous prime is 47981. The next prime is 48017. The reversal of 47999 is 99974.

Subtracting from 47999 its sum of digits (38), we obtain a square (47961 = 2192).

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

It is an interprime number because it is at equal distance from previous prime (47981) and next prime (48017).

It is a cyclic number.

It is not a de Polignac number, because 47999 - 28 = 47743 is a prime.

It is a Duffinian number.

47999 is a modest number, since divided by 999 gives 47 as remainder.

It is a plaindrome in base 8 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3422 + ... + 3435.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

247999 is an apocalyptic number.

47999 is a deficient number, since it is larger than the sum of its proper divisors (6865).

47999 is an equidigital number, since it uses as much as digits as its factorization.

47999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864.

The product of its digits is 20412, while the sum is 38.

The square root of 47999 is about 219.0867408129. The cubic root of 47999 is about 36.3421594770.

The spelling of 47999 in words is "forty-seven thousand, nine hundred ninety-nine".

Divisors: 1 7 6857 47999