Base | Representation |
---|---|
bin | 1010000001001… |
… | …0111001000100 |
3 | 2221001212011212 |
4 | 2200102321010 |
5 | 41224123140 |
6 | 4100350552 |
7 | 1020111341 |
oct | 240227104 |
9 | 87055155 |
10 | 42020420 |
11 | 217a0622 |
12 | 120a5458 |
13 | 8923370 |
14 | 581b7c8 |
15 | 3a50765 |
hex | 2812e44 |
42020420 has 48 divisors (see below), whose sum is σ = 98325360. Its totient is φ = 14977536.
The previous prime is 42020393. The next prime is 42020437. The reversal of 42020420 is 2402024.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 11195716 + 30824704 = 3346^2 + 5552^2 .
It is a junction number, because it is equal to n+sod(n) for n = 42020395 and 42020404.
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, 4754 + ... + 10326.
It is an arithmetic number, because the mean of its divisors is an integer number (2048445).
Almost surely, 242020420 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49162680).
42020420 is an abundant number, since it is smaller than the sum of its proper divisors (56304940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42020420 is a wasteful number, since it uses less digits than its factorization.
42020420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5624 (or 5622 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 14.
The square root of 42020420 is about 6482.3159441669. The cubic root of 42020420 is about 347.6589890631.
Adding to 42020420 its reverse (2402024), we get a palindrome (44422444).
The spelling of 42020420 in words is "forty-two million, twenty thousand, four hundred twenty".
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