| Base | Representation |
|---|---|
| bin | 1010011111011… |
| … | …1010000110000 |
| 3 | 10001210122200121 |
| 4 | 2213313100300 |
| 5 | 42231120100 |
| 6 | 4211100024 |
| 7 | 1043013466 |
| oct | 247672060 |
| 9 | 101718617 |
| 10 | 44004400 |
| 11 | 22926180 |
| 12 | 128a1614 |
| 13 | 916940b |
| 14 | 5bb6836 |
| 15 | 3ce351a |
| hex | 29f7430 |
44004400 has 120 divisors (see below), whose sum is σ = 117764784. Its totient is φ = 15667200.
The previous prime is 44004391. The next prime is 44004403. The reversal of 44004400 is 440044.
44004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a zygodrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (44004403) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321132 + ... + 321268.
Almost surely, 244004400 is an apocalyptic number.
44004400 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 44004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58882392).
44004400 is an abundant number, since it is smaller than the sum of its proper divisors (73760384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44004400 is a wasteful number, since it uses less digits than its factorization.
44004400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 239 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 44004400 is about 6633.5812348987. The cubic root of 44004400 is about 353.0466009682.
Adding to 44004400 its reverse (440044), we get a palindrome (44444444).
Multiplying 44004400 by its reverse (440044), we get a square (19363872193600 = 44004402).
44004400 divided by its reverse (440044) gives a square (100 = 102).
The spelling of 44004400 in words is "forty-four million, four thousand, four hundred".
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