| Base | Representation |
|---|---|
| bin | 1010100101101… |
| … | …1110010000000 |
| 3 | 10002120120110210 |
| 4 | 2221123302000 |
| 5 | 42332304003 |
| 6 | 4223554120 |
| 7 | 1046350041 |
| oct | 251336200 |
| 9 | 102516423 |
| 10 | 44416128 |
| 11 | 23087549 |
| 12 | 12a5b940 |
| 13 | 9281943 |
| 14 | 5c828c8 |
| 15 | 3d75503 |
| hex | 2a5bc80 |
44416128 has 128 divisors (see below), whose sum is σ = 126904320. Its totient is φ = 13730816.
The previous prime is 44416123. The next prime is 44416157. The reversal of 44416128 is 82161444.
It is a tau number, because it is divible by the number of its divisors (128).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 44416095 and 44416104.
It is not an unprimeable number, because it can be changed into a prime (44416123) 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, 415051 + ... + 415157.
It is an arithmetic number, because the mean of its divisors is an integer number (991440).
Almost surely, 244416128 is an apocalyptic number.
44416128 is a gapful number since it is divisible by the number (48) 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 44416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63452160).
44416128 is an abundant number, since it is smaller than the sum of its proper divisors (82488192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44416128 is a wasteful number, since it uses less digits than its factorization.
44416128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194 (or 182 counting only the distinct ones).
The product of its digits is 6144, while the sum is 30.
The square root of 44416128 is about 6664.5425949573. The cubic root of 44416128 is about 354.1442802982.
It can be divided in two parts, 44416 and 128, that added together give a palindrome (44544).
The spelling of 44416128 in words is "forty-four million, four hundred sixteen thousand, one hundred twenty-eight".
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