| Base | Representation |
|---|---|
| bin | 1111101100011… |
| … | …1000110101010 |
| 3 | 11120212101000000 |
| 4 | 3323013012222 |
| 5 | 113322432432 |
| 6 | 10310523430 |
| 7 | 1426344105 |
| oct | 373070652 |
| 9 | 146771000 |
| 10 | 65827242 |
| 11 | 34180a88 |
| 12 | 1a066576 |
| 13 | 1083a440 |
| 14 | 8a5773c |
| 15 | 5ba457c |
| hex | 3ec71aa |
65827242 has 112 divisors (see below), whose sum is σ = 167465088. Its totient is φ = 19245600.
The previous prime is 65827241. The next prime is 65827243. The reversal of 65827242 is 24272856.
65827242 is a `hidden beast` number, since 6 + 582 + 72 + 4 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (65827241) and next prime (65827243).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
Its product of digits (53760) is a multiple of the sum of its prime divisors (192).
It is a junction number, because it is equal to n+sod(n) for n = 65827197 and 65827206.
It is not an unprimeable number, because it can be changed into a prime (65827241) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 435867 + ... + 436017.
It is an arithmetic number, because the mean of its divisors is an integer number (1495224).
Almost surely, 265827242 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 65827242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83732544).
65827242 is an abundant number, since it is smaller than the sum of its proper divisors (101637846).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65827242 is a wasteful number, since it uses less digits than its factorization.
65827242 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 207 (or 192 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 65827242 is about 8113.3989178396. The cubic root of 65827242 is about 403.7710896466.
It can be divided in two parts, 6582 and 7242, that added together give a cube (13824 = 243).
The spelling of 65827242 in words is "sixty-five million, eight hundred twenty-seven thousand, two hundred forty-two".
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