Search a number
-
+
78474 = 23112941
BaseRepresentation
bin10011001010001010
310222122110
4103022022
510002344
61403150
7444534
oct231212
9128573
1078474
1153a60
12394b6
1329946
1420854
15183b9
hex1328a

78474 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 22400.

The previous prime is 78467. The next prime is 78479. The reversal of 78474 is 47487.

It is not an unprimeable number, because it can be changed into a prime (78479) by changing a digit.

78474 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 15 ways as a sum of consecutive naturals, for example, 1894 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

278474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

78474 is an abundant number, since it is smaller than the sum of its proper divisors (102966).

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

78474 is a wasteful number, since it uses less digits than its factorization.

78474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its digits is 6272, while the sum is 30.

The square root of 78474 is about 280.1321116902. The cubic root of 78474 is about 42.8129608170.

It can be divided in two parts, 784 and 74, that added together give a palindrome (858).

The spelling of 78474 in words is "seventy-eight thousand, four hundred seventy-four".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 123 174 246 319 451 638 902 957 1189 1353 1914 2378 2706 3567 7134 13079 26158 39237 78474