Search a number
-
+
847242 = 232112389
BaseRepresentation
bin11001110110110001010
31121001012100
43032312022
5204102432
630054230
710126044
oct3166612
91531170
10847242
11529600
1234a376
13238836
14180a94
1511b07c
hexced8a

847242 has 36 divisors (see below), whose sum is σ = 2022930. Its totient is φ = 256080.

The previous prime is 847237. The next prime is 847247. The reversal of 847242 is 242748.

It is an interprime number because it is at equal distance from previous prime (847237) and next prime (847247).

It can be written as a sum of positive squares in only one way, i.e., 793881 + 53361 = 891^2 + 231^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 847242.

It is not an unprimeable number, because it can be changed into a prime (847247) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1984 + ... + 2372.

2847242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 847242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011465).

847242 is an abundant number, since it is smaller than the sum of its proper divisors (1175688).

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

847242 is a wasteful number, since it uses less digits than its factorization.

847242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 847242 is about 920.4574949448. The cubic root of 847242 is about 94.6242591471.

It can be divided in two parts, 847 and 242, that added together give a square (1089 = 332).

The spelling of 847242 in words is "eight hundred forty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 389 726 778 1089 1167 2178 2334 3501 4279 7002 8558 12837 25674 38511 47069 77022 94138 141207 282414 423621 847242