| Base | Representation |
|---|---|
| bin | 110000111001101… |
| … | …010001101001000 |
| 3 | 2010011202201122120 |
| 4 | 300321222031020 |
| 5 | 3140011441243 |
| 6 | 213224251240 |
| 7 | 26221316160 |
| oct | 6071521510 |
| 9 | 2104681576 |
| 10 | 820421448 |
| 11 | 391119860 |
| 12 | 1aa910b20 |
| 13 | 100c830a2 |
| 14 | 7ad635a0 |
| 15 | 4c05cc83 |
| hex | 30e6a348 |
820421448 has 128 divisors (see below), whose sum is σ = 2639831040. Its totient is φ = 206208000.
The previous prime is 820421447. The next prime is 820421509. The reversal of 820421448 is 844124028.
It is a Cunningham number, because it is equal to 286432-1.
It is a Smith number, since the sum of its digits (33) 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 (33).
It is not an unprimeable number, because it can be changed into a prime (820421443) 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 31 ways as a sum of consecutive naturals, for example, 50128 + ... + 64448.
It is an arithmetic number, because the mean of its divisors is an integer number (20623680).
Almost surely, 2820421448 is an apocalyptic number.
820421448 is a gapful number since it is divisible by the number (88) 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 820421448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319915520).
820421448 is an abundant number, since it is smaller than the sum of its proper divisors (1819409592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
820421448 is a wasteful number, since it uses less digits than its factorization.
820421448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14379 (or 14375 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 33.
The square root of 820421448 is about 28642.9999825437. Note that the first 4 decimals coincide. The cubic root of 820421448 is about 936.1504889890.
The spelling of 820421448 in words is "eight hundred twenty million, four hundred twenty-one thousand, four hundred forty-eight".
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