Base | Representation |
---|---|
bin | 10000111100111101100000 |
3 | 22100210000121 |
4 | 100330331200 |
5 | 2114202000 |
6 | 235130024 |
7 | 52526161 |
oct | 20747540 |
9 | 8323017 |
10 | 4444000 |
11 | 2565930 |
12 | 15a3914 |
13 | bc79b2 |
14 | 839768 |
15 | 5cbb1a |
hex | 43cf60 |
4444000 has 96 divisors (see below), whose sum is σ = 12029472. Its totient is φ = 1600000.
The previous prime is 4443983. The next prime is 4444001. The reversal of 4444000 is 4444.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a nialpdrome in base 10.
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4444001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43950 + ... + 44050.
It is an arithmetic number, because the mean of its divisors is an integer number (125307).
Almost surely, 24444000 is an apocalyptic number.
4444000 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 4444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736).
4444000 is an abundant number, since it is smaller than the sum of its proper divisors (7585472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4444000 is a wasteful number, since it uses less digits than its factorization.
4444000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 4444000 is about 2108.0796948882. The cubic root of 4444000 is about 164.4086576347.
Adding to 4444000 its reverse (4444), we get a palindrome (4448444).
4444000 divided by its reverse (4444) gives a cube (1000 = 103).
It can be divided in two parts, 444 and 4000, that added together give a palindrome (4444).
The spelling of 4444000 in words is "four million, four hundred forty-four thousand".
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