| Base | Representation |
|---|---|
| bin | 11010110001001… |
| … | …111010101010000 |
| 3 | 1011022002102121101 |
| 4 | 122301033111100 |
| 5 | 1404433143342 |
| 6 | 112322034144 |
| 7 | 14062263361 |
| oct | 3261172520 |
| 9 | 1138072541 |
| 10 | 449115472 |
| 11 | 210572113 |
| 12 | 1064a8954 |
| 13 | 7207a200 |
| 14 | 4390bb68 |
| 15 | 296663b7 |
| hex | 1ac4f550 |
449115472 has 90 divisors (see below), whose sum is σ = 982370718. Its totient is φ = 198671616.
The previous prime is 449115427. The next prime is 449115473. The reversal of 449115472 is 274511944.
It can be written as a sum of positive squares in 3 ways, for example, as 23270976 + 425844496 = 4824^2 + 20636^2 .
It is a Harshad number since it is a multiple of its sum of digits (37).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (449115473) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6703183 + ... + 6703249.
Almost surely, 2449115472 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 449115472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491185359).
449115472 is an abundant number, since it is smaller than the sum of its proper divisors (533255246).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
449115472 is a wasteful number, since it uses less digits than its factorization.
449115472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 205 (or 119 counting only the distinct ones).
The product of its digits is 40320, while the sum is 37.
The square root of 449115472 is about 21192.3446555590. The cubic root of 449115472 is about 765.8070125800.
Subtracting from 449115472 its sum of digits (37), we obtain a triangular number (449115435 = T29970).
Multiplying 449115472 by its sum of digits (37), we get a square (16617272464 = 1289082).
449115472 divided by its sum of digits (37) gives a square (12138256 = 34842).
It can be divided in two parts, 449 and 115472, that added together give a triangular number (115921 = T481).
The spelling of 449115472 in words is "four hundred forty-nine million, one hundred fifteen thousand, four hundred seventy-two".
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