Base | Representation |
---|---|
bin | 11010110001010… |
… | …101010101000000 |
3 | 1011022010200022000 |
4 | 122301111111000 |
5 | 1404434440112 |
6 | 112322344000 |
7 | 14062425105 |
oct | 3261252500 |
9 | 1138120260 |
10 | 449140032 |
11 | 210589610 |
12 | 1064bb000 |
13 | 72088443 |
14 | 43916aac |
15 | 2966d7dc |
hex | 1ac55540 |
449140032 has 112 divisors (see below), whose sum is σ = 1440484800. Its totient is φ = 136097280.
The previous prime is 449140009. The next prime is 449140039. The reversal of 449140032 is 230041944.
It is a super-2 number, since 2×4491400322 = 403453536689922048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 449139978 and 449140005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (449140039) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7194 + ... + 30822.
Almost surely, 2449140032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 449140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720242400).
449140032 is an abundant number, since it is smaller than the sum of its proper divisors (991344768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
449140032 is a wasteful number, since it uses less digits than its factorization.
449140032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23661 (or 23645 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 449140032 is about 21192.9241021620. The cubic root of 449140032 is about 765.8209717795.
Adding to 449140032 its reverse (230041944), we get a palindrome (679181976).
The spelling of 449140032 in words is "four hundred forty-nine million, one hundred forty thousand, thirty-two".
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