| Base | Representation |
|---|---|
| bin | 11010110011111… |
| … | …101001011101000 |
| 3 | 1011100102121102000 |
| 4 | 122303331023220 |
| 5 | 1410123440220 |
| 6 | 112345211000 |
| 7 | 14101320420 |
| oct | 3263751350 |
| 9 | 1140377360 |
| 10 | 449827560 |
| 11 | 210a09116 |
| 12 | 106790a60 |
| 13 | 72269370 |
| 14 | 43a55480 |
| 15 | 29757390 |
| hex | 1acfd2e8 |
449827560 has 512 divisors, whose sum is σ = 1935360000. Its totient is φ = 90326016.
The previous prime is 449827549. The next prime is 449827561. The reversal of 449827560 is 65728944.
It is a happy number.
449827560 is a `hidden beast` number, since 4 + 4 + 9 + 82 + 7 + 560 = 666.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (449827561) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2260341 + ... + 2260539.
It is an arithmetic number, because the mean of its divisors is an integer number (3780000).
Almost surely, 2449827560 is an apocalyptic number.
449827560 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 449827560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680000).
449827560 is an abundant number, since it is smaller than the sum of its proper divisors (1485532440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
449827560 is a wasteful number, since it uses less digits than its factorization.
449827560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 262 (or 252 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The square root of 449827560 is about 21209.1385963693. The cubic root of 449827560 is about 766.2115366298.
The spelling of 449827560 in words is "four hundred forty-nine million, eight hundred twenty-seven thousand, five hundred sixty".
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