| Base | Representation |
|---|---|
| bin | 11110001001010… |
| … | …110000100110100 |
| 3 | 1022020200120210100 |
| 4 | 132021112010310 |
| 5 | 2013434004241 |
| 6 | 122104154100 |
| 7 | 15350641005 |
| oct | 3611260464 |
| 9 | 1266616710 |
| 10 | 505766196 |
| 11 | 23a5456a1 |
| 12 | 121468930 |
| 13 | 80a23850 |
| 14 | 4b2571ac |
| 15 | 2e6069b6 |
| hex | 1e256134 |
505766196 has 72 divisors (see below), whose sum is σ = 1386239400. Its totient is φ = 154554624.
The previous prime is 505766171. The next prime is 505766221. The reversal of 505766196 is 691667505.
It is an interprime number because it is at equal distance from previous prime (505766171) and next prime (505766221).
It can be written as a sum of positive squares in 4 ways, for example, as 4901796 + 500864400 = 2214^2 + 22380^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66106 + ... + 73358.
It is an arithmetic number, because the mean of its divisors is an integer number (19253325).
Almost surely, 2505766196 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 505766196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693119700).
505766196 is an abundant number, since it is smaller than the sum of its proper divisors (880473204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
505766196 is a wasteful number, since it uses less digits than its factorization.
505766196 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7425 (or 7420 counting only the distinct ones).
The product of its (nonzero) digits is 340200, while the sum is 45.
The square root of 505766196 is about 22489.2462301430. The cubic root of 505766196 is about 796.7399603053.
It can be divided in two parts, 5057 and 66196, that added together give a triangular number (71253 = T377).
The spelling of 505766196 in words is "five hundred five million, seven hundred sixty-six thousand, one hundred ninety-six".
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