| Base | Representation |
|---|---|
| bin | 11110001010110… |
| … | …110101001000000 |
| 3 | 1022021102200100200 |
| 4 | 132022312221000 |
| 5 | 2014034133403 |
| 6 | 122120445200 |
| 7 | 15354206112 |
| oct | 3612665100 |
| 9 | 1267380320 |
| 10 | 506161728 |
| 11 | 23a795886 |
| 12 | 121619800 |
| 13 | 80b318a7 |
| 14 | 4b31b3b2 |
| 15 | 2e683ca3 |
| hex | 1e2b6a40 |
506161728 has 84 divisors (see below), whose sum is σ = 1486276428. Its totient is φ = 164597760.
The previous prime is 506161703. The next prime is 506161783. The reversal of 506161728 is 827161605.
506161728 is a `hidden beast` number, since 5 + 0 + 616 + 17 + 28 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 474891264 = 5592^2 + 21792^2 .
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 506161692 and 506161701.
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 11 ways as a sum of consecutive naturals, for example, 12900 + ... + 34332.
It is an arithmetic number, because the mean of its divisors is an integer number (17693767).
Almost surely, 2506161728 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 506161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743138214).
506161728 is an abundant number, since it is smaller than the sum of its proper divisors (980114700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
506161728 is a wasteful number, since it uses less digits than its factorization.
506161728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21492 (or 21479 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The square root of 506161728 is about 22498.0383144842. The cubic root of 506161728 is about 796.9476017266.
The spelling of 506161728 in words is "five hundred six million, one hundred sixty-one thousand, seven hundred twenty-eight".
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