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4282122 = 2313241103
BaseRepresentation
bin10000010101011100001010
322001112222010
4100111130022
52044011442
6231440350
751253215
oct20253412
98045863
104282122
112465249
1215260b6
13b6c100
147d677c
15598b9c
hex41570a

4282122 has 48 divisors (see below), whose sum is σ = 9592128. Its totient is φ = 1272960.

The previous prime is 4282093. The next prime is 4282129. The reversal of 4282122 is 2212824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4282129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41523 + ... + 41625.

It is an arithmetic number, because the mean of its divisors is an integer number (199836).

Almost surely, 24282122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796064).

4282122 is an abundant number, since it is smaller than the sum of its proper divisors (5310006).

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

4282122 is a wasteful number, since it uses less digits than its factorization.

4282122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 4282122 is about 2069.3288767134. The cubic root of 4282122 is about 162.3876556820.

Adding to 4282122 its reverse (2212824), we get a palindrome (6494946).

The spelling of 4282122 in words is "four million, two hundred eighty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 103 123 169 206 246 309 338 507 533 618 1014 1066 1339 1599 2678 3198 4017 4223 6929 8034 8446 12669 13858 17407 20787 25338 34814 41574 52221 54899 104442 109798 164697 329394 713687 1427374 2141061 4282122