| Base | Representation |
|---|---|
| bin | 11100101001111… |
| … | …110010101100101 |
| 3 | 1020111122101222200 |
| 4 | 130221332111211 |
| 5 | 1441033442120 |
| 6 | 115412245113 |
| 7 | 14625303030 |
| oct | 3451762545 |
| 9 | 1214571880 |
| 10 | 480765285 |
| 11 | 22741a090 |
| 12 | 115010799 |
| 13 | 787ac100 |
| 14 | 47bca017 |
| 15 | 2c318e90 |
| hex | 1ca7e565 |
480765285 has 144 divisors (see below), whose sum is σ = 1126389888. Its totient is φ = 184204800.
The previous prime is 480765283. The next prime is 480765289. The reversal of 480765285 is 582567084.
It is not a de Polignac number, because 480765285 - 21 = 480765283 is a prime.
It is a super-3 number, since 3×4807652853 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a self number, because there is not a number n which added to its sum of digits gives 480765285.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (480765281) 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 143 ways as a sum of consecutive naturals, for example, 585175 + ... + 585995.
It is an arithmetic number, because the mean of its divisors is an integer number (7822152).
Almost surely, 2480765285 is an apocalyptic number.
480765285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
It is an amenable number.
480765285 is an abundant number, since it is smaller than the sum of its proper divisors (645624603).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
480765285 is a wasteful number, since it uses less digits than its factorization.
480765285 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 876 (or 860 counting only the distinct ones).
The product of its (nonzero) digits is 537600, while the sum is 45.
The square root of 480765285 is about 21926.3605051089. The cubic root of 480765285 is about 783.3894169392.
It can be divided in two parts, 48076 and 5285, that added together give a square (53361 = 2312).
The spelling of 480765285 in words is "four hundred eighty million, seven hundred sixty-five thousand, two hundred eighty-five".
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