Search a number
-
+
47790 = 234559
BaseRepresentation
bin1011101010101110
32102120000
423222232
53012130
61005130
7256221
oct135256
972500
1047790
11329a6
12237a6
13189a2
14135b8
15e260
hexbaae

47790 has 40 divisors (see below), whose sum is σ = 130680. Its totient is φ = 12528.

The previous prime is 47779. The next prime is 47791. The reversal of 47790 is 9774.

47790 divided by its sum of digits (27) gives a triangular number (1770 = T59).

47790 is nontrivially palindromic in base 4.

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

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47791) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 781 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (3267).

247790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340).

47790 is an abundant number, since it is smaller than the sum of its proper divisors (82890).

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

47790 is a wasteful number, since it uses less digits than its factorization.

47790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 47790 is about 218.6092404268. The cubic root of 47790 is about 36.2893350269.

The spelling of 47790 in words is "forty-seven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 531 590 810 885 1062 1593 1770 2655 3186 4779 5310 7965 9558 15930 23895 47790