| Base | Representation |
|---|---|
| bin | 10011100101011… |
| … | …00100110110000 |
| 3 | 102110010112110000 |
| 4 | 21302230212300 |
| 5 | 314024103343 |
| 6 | 24145110000 |
| 7 | 4033253400 |
| oct | 1162544660 |
| 9 | 373115400 |
| 10 | 164284848 |
| 11 | 84809702 |
| 12 | 47028300 |
| 13 | 28060b90 |
| 14 | 17b66800 |
| 15 | e651ed3 |
| hex | 9cac9b0 |
164284848 has 300 divisors, whose sum is σ = 598659600. Its totient is φ = 43110144.
The previous prime is 164284843. The next prime is 164284853. The reversal of 164284848 is 848482461.
164284848 is a `hidden beast` number, since 164 + 2 + 8 + 484 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (164284843) and next prime (164284853).
It is a super-2 number, since 2×1642848482 = 53979022564766208, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (164284843) by changing a digit.
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 59 ways as a sum of consecutive naturals, for example, 825453 + ... + 825651.
It is an arithmetic number, because the mean of its divisors is an integer number (1995532).
Almost surely, 2164284848 is an apocalyptic number.
164284848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 164284848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299329800).
164284848 is an abundant number, since it is smaller than the sum of its proper divisors (434374752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164284848 is a wasteful number, since it uses less digits than its factorization.
164284848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 246 (or 224 counting only the distinct ones).
The product of its digits is 393216, while the sum is 45.
The square root of 164284848 is about 12817.3650958378. The cubic root of 164284848 is about 547.6870893734.
The spelling of 164284848 in words is "one hundred sixty-four million, two hundred eighty-four thousand, eight hundred forty-eight".
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