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4228520 = 235611733
BaseRepresentation
bin10000001000010110101000
321221211102212
4100020112220
52040303040
6230344252
750641022
oct20102650
97854385
104228520
112428a4a
1214bb088
13b508aa
147c1012
15587d65
hex4085a8

4228520 has 32 divisors (see below), whose sum is σ = 9675720. Its totient is φ = 1662720.

The previous prime is 4228513. The next prime is 4228531. The reversal of 4228520 is 258224.

It can be written as a sum of positive squares in 4 ways, for example, as 2079364 + 2149156 = 1442^2 + 1466^2 .

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 1574 + ... + 3306.

Almost surely, 24228520 is an apocalyptic number.

4228520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4228520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837860).

4228520 is an abundant number, since it is smaller than the sum of its proper divisors (5447200).

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

4228520 is a wasteful number, since it uses less digits than its factorization.

4228520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4228520 is about 2056.3365483305. The cubic root of 4228520 is about 161.7072393769.

The spelling of 4228520 in words is "four million, two hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 1733 2440 3466 6932 8665 13864 17330 34660 69320 105713 211426 422852 528565 845704 1057130 2114260 4228520