| Base | Representation |
|---|---|
| bin | 11110001101100… |
| … | …111011100110100 |
| 3 | 1022022210110210100 |
| 4 | 132031213130310 |
| 5 | 2014230322230 |
| 6 | 122144154100 |
| 7 | 15363313401 |
| oct | 3615473464 |
| 9 | 1268713710 |
| 10 | 506885940 |
| 11 | 24013aa00 |
| 12 | 121908930 |
| 13 | 81026412 |
| 14 | 4b4692a8 |
| 15 | 2e778660 |
| hex | 1e367734 |
506885940 has 324 divisors, whose sum is σ = 1839123468. Its totient is φ = 112527360.
The previous prime is 506885927. The next prime is 506885947. The reversal of 506885940 is 49588605.
506885940 is a `hidden beast` number, since 50 + 6 + 8 + 8 + 594 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 130370724 + 376515216 = 11418^2 + 19404^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (506885947) 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 107 ways as a sum of consecutive naturals, for example, 13699602 + ... + 13699638.
It is an arithmetic number, because the mean of its divisors is an integer number (5676307).
Almost surely, 2506885940 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 506885940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919561734).
506885940 is an abundant number, since it is smaller than the sum of its proper divisors (1332237528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
506885940 is a wasteful number, since it uses less digits than its factorization.
506885940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 345600, while the sum is 45.
The square root of 506885940 is about 22514.1275647092. The cubic root of 506885940 is about 797.3275092663.
It can be divided in two parts, 506 and 885940, that added together give a triangular number (886446 = T1331).
The spelling of 506885940 in words is "five hundred six million, eight hundred eighty-five thousand, nine hundred forty".
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