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47984 = 242999
BaseRepresentation
bin1011101101110000
32102211012
423231300
53013414
61010052
7256616
oct135560
972735
1047984
1133062
1223928
1318ac1
14136b6
15e33e
hexbb70

47984 has 10 divisors (see below), whose sum is σ = 93000. Its totient is φ = 23984.

The previous prime is 47981. The next prime is 48017. The reversal of 47984 is 48974.

It is a happy number.

47984 is nontrivially palindromic in base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47984.

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 47984.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1484 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

247984 is an apocalyptic number.

It is an amenable number.

47984 is a deficient number, since it is larger than the sum of its proper divisors (45016).

47984 is a wasteful number, since it uses less digits than its factorization.

47984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 47984 is about 219.0525051215. The cubic root of 47984 is about 36.3383733621.

Subtracting 47984 from its reverse (48974), we obtain a triangular number (990 = T44).

The spelling of 47984 in words is "forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 2999 5998 11996 23992 47984