| Base | Representation |
|---|---|
| bin | 11110010110100… |
| … | …010010110100100 |
| 3 | 1022111012021111100 |
| 4 | 132112202112210 |
| 5 | 2020330134411 |
| 6 | 122310240100 |
| 7 | 15422223054 |
| oct | 3626422644 |
| 9 | 1274167440 |
| 10 | 509224356 |
| 11 | 241497883 |
| 12 | 122656030 |
| 13 | 816648b4 |
| 14 | 4b8b7564 |
| 15 | 2ea8b456 |
| hex | 1e5a25a4 |
509224356 has 27 divisors (see below), whose sum is σ = 1287548353. Its totient is φ = 169696320.
The previous prime is 509224351. The next prime is 509224363. The reversal of 509224356 is 653422905.
The square root of 509224356 is 22566.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 226984356 + 282240000 = 15066^2 + 16800^2 .
It is a super-2 number, since 2×5092243562 = 518618889487229472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 509224356.
It is not an unprimeable number, because it can be changed into a prime (509224351) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133516 + ... + 137276.
Almost surely, 2509224356 is an apocalyptic number.
509224356 is the 22566-th square number.
It is an amenable number.
509224356 is an abundant number, since it is smaller than the sum of its proper divisors (778323997).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
509224356 is an equidigital number, since it uses as much as digits as its factorization.
509224356 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7532 (or 3766 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 36.
The cubic root of 509224356 is about 798.5517318146.
Multiplying 509224356 by its sum of digits (36), we get a square (18332076816 = 1353962).
509224356 divided by its sum of digits (36) gives a square (14145121 = 37612).
It can be divided in two parts, 50922 and 4356, that added together give a triangular number (55278 = T332).
The spelling of 509224356 in words is "five hundred nine million, two hundred twenty-four thousand, three hundred fifty-six".
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