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47823 = 319839
BaseRepresentation
bin1011101011001111
32102121020
423223033
53012243
61005223
7256266
oct135317
972536
1047823
1132a26
1223813
13189c9
14135dd
15e283
hexbacf

47823 has 8 divisors (see below), whose sum is σ = 67200. Its totient is φ = 30168.

The previous prime is 47819. The next prime is 47837. The reversal of 47823 is 32874.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 47823 - 22 = 47819 is a prime.

47823 is a lucky number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 47793 and 47802.

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 47823.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

247823 is an apocalyptic number.

47823 is a deficient number, since it is larger than the sum of its proper divisors (19377).

47823 is a wasteful number, since it uses less digits than its factorization.

47823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861.

The product of its digits is 1344, while the sum is 24.

The square root of 47823 is about 218.6847045406. The cubic root of 47823 is about 36.2976859547.

The spelling of 47823 in words is "forty-seven thousand, eight hundred twenty-three".

Divisors: 1 3 19 57 839 2517 15941 47823