Base | Representation |
---|---|
bin | 11101010010011… |
… | …001000000000000 |
3 | 1021020120200120000 |
4 | 131102121000000 |
5 | 2001242012011 |
6 | 120431320000 |
7 | 15114331122 |
oct | 3522310000 |
9 | 1236520500 |
10 | 491360256 |
11 | 2323a6262 |
12 | 118680000 |
13 | 7aa4b71a |
14 | 49387212 |
15 | 2d20d356 |
hex | 1d499000 |
491360256 has 130 divisors (see below), whose sum is σ = 1468826502. Its totient is φ = 163676160.
The previous prime is 491360251. The next prime is 491360267. The reversal of 491360256 is 652063194.
It is a happy number.
491360256 is a `hidden beast` number, since 49 + 1 + 3 + 602 + 5 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 406425600 + 84934656 = 20160^2 + 9216^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 491360256.
It is not an unprimeable number, because it can be changed into a prime (491360251) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331036 + ... + 332516.
Almost surely, 2491360256 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 491360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734413251).
491360256 is an abundant number, since it is smaller than the sum of its proper divisors (977466246).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
491360256 is an equidigital number, since it uses as much as digits as its factorization.
491360256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1517 (or 1486 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 491360256 is about 22166.6473784377. The cubic root of 491360256 is about 789.1023591702.
The spelling of 491360256 in words is "four hundred ninety-one million, three hundred sixty thousand, two hundred fifty-six".
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