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47682 = 233883
BaseRepresentation
bin1011101001000010
32102102000
423221002
53011212
61004430
7256005
oct135102
972360
1047682
1132908
1223716
131891b
141353c
15e1dc
hexba42

47682 has 16 divisors (see below), whose sum is σ = 106080. Its totient is φ = 15876.

The previous prime is 47681. The next prime is 47699. The reversal of 47682 is 28674.

It can be divided in two parts, 47 and 682, that added together give a 6-th power (729 = 36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47681) 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 7 ways as a sum of consecutive naturals, for example, 388 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

247682 is an apocalyptic number.

47682 is an abundant number, since it is smaller than the sum of its proper divisors (58398).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53040).

47682 is a wasteful number, since it uses less digits than its factorization.

47682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 47682 is about 218.3620846209. The cubic root of 47682 is about 36.2619778096.

The spelling of 47682 in words is "forty-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 883 1766 2649 5298 7947 15894 23841 47682