| Base | Representation |
|---|---|
| bin | 11010101010110… |
| … | …111100000001000 |
| 3 | 1011011221120011001 |
| 4 | 122222313200020 |
| 5 | 1404021220000 |
| 6 | 112222144344 |
| 7 | 14042135242 |
| oct | 3252674010 |
| 9 | 1134846131 |
| 10 | 447445000 |
| 11 | 20a631062 |
| 12 | 105a220b4 |
| 13 | 71913a72 |
| 14 | 435d5092 |
| 15 | 2943646a |
| hex | 1aab7808 |
447445000 has 80 divisors (see below), whose sum is σ = 1059270300. Its totient is φ = 177120000.
The previous prime is 447444997. The next prime is 447445007. The reversal of 447445000 is 544744.
It can be written as a sum of positive squares in 10 ways, for example, as 39162564 + 408282436 = 6258^2 + 20206^2 .
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 447445000.
It is not an unprimeable number, because it can be changed into a prime (447445007) 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 19 ways as a sum of consecutive naturals, for example, 544590 + ... + 545410.
Almost surely, 2447445000 is an apocalyptic number.
447445000 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 447445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529635150).
447445000 is an abundant number, since it is smaller than the sum of its proper divisors (611825300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
447445000 is a wasteful number, since it uses less digits than its factorization.
447445000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 956 (or 937 counting only the distinct ones).
The product of its (nonzero) digits is 8960, while the sum is 28.
The square root of 447445000 is about 21152.8957828473. The cubic root of 447445000 is about 764.8563672982.
Adding to 447445000 its reverse (544744), we get a palindrome (447989744).
The spelling of 447445000 in words is "four hundred forty-seven million, four hundred forty-five thousand".
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