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47664 = 2432331
BaseRepresentation
bin1011101000110000
32102101100
423220300
53011124
61004400
7255651
oct135060
972340
1047664
11328a1
1223700
1318906
1413528
15e1c9
hexba30

47664 has 30 divisors (see below), whose sum is σ = 133796. Its totient is φ = 15840.

The previous prime is 47659. The next prime is 47681. The reversal of 47664 is 46674.

Its product of digits (4032) is a multiple of the sum of its prime divisors (336).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47664.

It is an unprimeable number.

47664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 22 + ... + 309.

247664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66898).

47664 is an abundant number, since it is smaller than the sum of its proper divisors (86132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47664 is a wasteful number, since it uses less digits than its factorization.

47664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 47664 is about 218.3208647839. The cubic root of 47664 is about 36.2574142583.

Subtracting from 47664 its reverse (46674), we obtain a triangular number (990 = T44).

The spelling of 47664 in words is "forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 993 1324 1986 2648 2979 3972 5296 5958 7944 11916 15888 23832 47664