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4218116 = 227221521
BaseRepresentation
bin10000000101110100000100
321221022011112
4100011310010
52034434431
6230224152
750565500
oct20056404
97838145
104218116
112421151
1214b5058
13b48c36
147bb300
15584c2b
hex405d04

4218116 has 18 divisors (see below), whose sum is σ = 8587278. Its totient is φ = 1807680.

The previous prime is 4218113. The next prime is 4218157. The reversal of 4218116 is 6118124.

It can be written as a sum of positive squares in only one way, i.e., 3625216 + 592900 = 1904^2 + 770^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4218091 and 4218100.

It is not an unprimeable number, because it can be changed into a prime (4218113) 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 5 ways as a sum of consecutive naturals, for example, 10565 + ... + 10956.

It is an arithmetic number, because the mean of its divisors is an integer number (477071).

Almost surely, 24218116 is an apocalyptic number.

It is an amenable number.

4218116 is an abundant number, since it is smaller than the sum of its proper divisors (4369162).

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

4218116 is a wasteful number, since it uses less digits than its factorization.

4218116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539 (or 21530 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 4218116 is about 2053.8052488004. The cubic root of 4218116 is about 161.5745070560.

It can be divided in two parts, 4218 and 116, that added together give a palindrome (4334).

The spelling of 4218116 in words is "four million, two hundred eighteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 21521 43042 86084 150647 301294 602588 1054529 2109058 4218116