Search a number
-
+
47082 = 2371959
BaseRepresentation
bin1011011111101010
32101120210
423133222
53001312
61001550
7254160
oct133752
971523
1047082
1132412
12232b6
1318579
1413230
15de3c
hexb7ea

47082 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 12528.

The previous prime is 47059. The next prime is 47087. The reversal of 47082 is 28074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (47087) by changing a digit.

47082 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

247082 is an apocalyptic number.

47082 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

47082 is an abundant number, since it is smaller than the sum of its proper divisors (68118).

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

47082 is a wasteful number, since it uses less digits than its factorization.

47082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 47082 is about 216.9838703683. The cubic root of 47082 is about 36.1092361069.

The spelling of 47082 in words is "forty-seven thousand, eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 266 354 399 413 798 826 1121 1239 2242 2478 3363 6726 7847 15694 23541 47082