| Base | Representation |
|---|---|
| bin | 110110011100101… |
| … | …0000010101100000 |
| 3 | 11201022201121010100 |
| 4 | 1230321100111200 |
| 5 | 12220144322243 |
| 6 | 501141502400 |
| 7 | 63162543213 |
| oct | 15471202540 |
| 9 | 4638647110 |
| 10 | 1826948448 |
| 11 | 8582a0456 |
| 12 | 42ba11a00 |
| 13 | 2316670b0 |
| 14 | 1348cd77a |
| 15 | aa5cd0d3 |
| hex | 6ce50560 |
1826948448 has 144 divisors (see below), whose sum is σ = 5616505440. Its totient is φ = 559982592.
The previous prime is 1826948447. The next prime is 1826948471. The reversal of 1826948448 is 8448496281.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 1826948394 and 1826948403.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1826948447) 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 23 ways as a sum of consecutive naturals, for example, 1171093 + ... + 1172651.
It is an arithmetic number, because the mean of its divisors is an integer number (39003510).
Almost surely, 21826948448 is an apocalyptic number.
1826948448 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 1826948448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808252720).
1826948448 is an abundant number, since it is smaller than the sum of its proper divisors (3789556992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1826948448 is a wasteful number, since it uses less digits than its factorization.
1826948448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1901 (or 1890 counting only the distinct ones).
The product of its digits is 3538944, while the sum is 54.
The square root of 1826948448 is about 42742.8175018915. The cubic root of 1826948448 is about 1222.4809426565.
The spelling of 1826948448 in words is "one billion, eight hundred twenty-six million, nine hundred forty-eight thousand, four hundred forty-eight".
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