| Base | Representation |
|---|---|
| bin | 1010101011111… |
| … | …0100110000000 |
| 3 | 10010100010200000 |
| 4 | 2222332212000 |
| 5 | 42433231424 |
| 6 | 4240400000 |
| 7 | 1052654034 |
| oct | 252764600 |
| 9 | 103303600 |
| 10 | 44820864 |
| 11 | 23333640 |
| 12 | 13016000 |
| 13 | 9393c2a |
| 14 | 5d4a1c4 |
| 15 | 3e053c9 |
| hex | 2abe980 |
44820864 has 192 divisors, whose sum is σ = 147026880. Its totient is φ = 13478400.
The previous prime is 44820851. The next prime is 44820869. The reversal of 44820864 is 46802844.
44820864 is a `hidden beast` number, since 448 + 208 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (44820869) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342079 + ... + 342209.
It is an arithmetic number, because the mean of its divisors is an integer number (765765).
Almost surely, 244820864 is an apocalyptic number.
44820864 is a gapful number since it is divisible by the number (44) 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 44820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).
44820864 is an abundant number, since it is smaller than the sum of its proper divisors (102206016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44820864 is a wasteful number, since it uses less digits than its factorization.
44820864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 171 (or 147 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The square root of 44820864 is about 6694.8386089584. The cubic root of 44820864 is about 355.2167267507.
It can be divided in two parts, 448 and 20864, that added together give a palindrome (21312).
The spelling of 44820864 in words is "forty-four million, eight hundred twenty thousand, eight hundred sixty-four".
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