Base | Representation |
---|---|
bin | 10000111100100000100000 |
3 | 22100200110212 |
4 | 100330200200 |
5 | 2114122034 |
6 | 235113252 |
7 | 52520600 |
oct | 20744040 |
9 | 8320425 |
10 | 4442144 |
11 | 25644a3 |
12 | 15a2828 |
13 | bc6bb5 |
14 | 838c00 |
15 | 5cb2ce |
hex | 43c820 |
4442144 has 36 divisors (see below), whose sum is σ = 10176894. Its totient is φ = 1903104.
The previous prime is 4442131. The next prime is 4442159. The reversal of 4442144 is 4412444.
It can be written as a sum of positive squares in only one way, i.e., 3952144 + 490000 = 1988^2 + 700^2 .
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
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 5 ways as a sum of consecutive naturals, for example, 152 + ... + 2984.
Almost surely, 24442144 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 4442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088447).
4442144 is an abundant number, since it is smaller than the sum of its proper divisors (5734750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4442144 is a wasteful number, since it uses less digits than its factorization.
4442144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2857 (or 2842 counting only the distinct ones).
The product of its digits is 2048, while the sum is 23.
The square root of 4442144 is about 2107.6394378546. The cubic root of 4442144 is about 164.3857664737.
Adding to 4442144 its reverse (4412444), we get a palindrome (8854588).
The spelling of 4442144 in words is "four million, four hundred forty-two thousand, one hundred forty-four".
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