Base | Representation |
---|---|
bin | 10000100001101000001010 |
3 | 22011002110000 |
4 | 100201220022 |
5 | 2102111132 |
6 | 232503430 |
7 | 51551601 |
oct | 20415012 |
9 | 8132400 |
10 | 4332042 |
11 | 2499800 |
12 | 154ab76 |
13 | b88a50 |
14 | 80aa38 |
15 | 5a887c |
hex | 421a0a |
4332042 has 120 divisors (see below), whose sum is σ = 12166308. Its totient is φ = 1140480.
The previous prime is 4332011. The next prime is 4332043. The reversal of 4332042 is 2402334.
It can be written as a sum of positive squares in 2 ways, for example, as 4322241 + 9801 = 2079^2 + 99^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a d-powerful number, because it can be written as 42 + 34 + 38 + 23 + 0 + 411 + 217 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4332043) 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 59 ways as a sum of consecutive naturals, for example, 254818 + ... + 254834.
Almost surely, 24332042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4332042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083154).
4332042 is an abundant number, since it is smaller than the sum of its proper divisors (7834266).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4332042 is a wasteful number, since it uses less digits than its factorization.
4332042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66 (or 46 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 4332042 is about 2081.3558081212. The cubic root of 4332042 is about 163.0162453855.
Adding to 4332042 its reverse (2402334), we get a palindrome (6734376).
The spelling of 4332042 in words is "four million, three hundred thirty-two thousand, forty-two".
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