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4218126 = 231179809
BaseRepresentation
bin10000000101110100001110
321221022011220
4100011310032
52034440001
6230224210
750565513
oct20056416
97838156
104218126
112421160
1214b5066
13b48c43
147bb30a
15584c36
hex405d0e

4218126 has 32 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 1260480.

The previous prime is 4218113. The next prime is 4218157. The reversal of 4218126 is 6218124.

It is a junction number, because it is equal to n+sod(n) for n = 4218096 and 4218105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4810 + ... + 5618.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 24218126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4218126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665600).

4218126 is an abundant number, since it is smaller than the sum of its proper divisors (5113074).

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

4218126 is a wasteful number, since it uses less digits than its factorization.

4218126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904.

The product of its digits is 768, while the sum is 24.

The square root of 4218126 is about 2053.8076833044. The cubic root of 4218126 is about 161.5746347389.

It can be divided in two parts, 4 and 218126, that added together give a triangular number (218130 = T660).

The spelling of 4218126 in words is "four million, two hundred eighteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 809 869 1618 1738 2427 2607 4854 5214 8899 17798 26697 53394 63911 127822 191733 383466 703021 1406042 2109063 4218126