| Base | Representation |
|---|---|
| bin | 110110011111011… |
| … | …0101011101000000 |
| 3 | 11201102110220122100 |
| 4 | 1230332311131000 |
| 5 | 12221033124300 |
| 6 | 501233110400 |
| 7 | 63211144620 |
| oct | 15476653500 |
| 9 | 4642426570 |
| 10 | 1828411200 |
| 11 | 8590aa440 |
| 12 | 4303b8400 |
| 13 | 231a59b25 |
| 14 | 134b90880 |
| 15 | aa7bb700 |
| hex | 6cfb5740 |
1828411200 has 1008 divisors, whose sum is σ = 8667195264. Its totient is φ = 353894400.
The previous prime is 1828411171. The next prime is 1828411201. The reversal of 1828411200 is 21148281.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1828411201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18849552 + ... + 18849648.
It is an arithmetic number, because the mean of its divisors is an integer number (8598408).
Almost surely, 21828411200 is an apocalyptic number.
1828411200 is a gapful number since it is divisible by the number (10) 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 1828411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333597632).
1828411200 is an abundant number, since it is smaller than the sum of its proper divisors (6838784064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1828411200 is a wasteful number, since it uses less digits than its factorization.
1828411200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 160 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 27.
The square root of 1828411200 is about 42759.9251636389. The cubic root of 1828411200 is about 1222.8071166871.
Adding to 1828411200 its reverse (21148281), we get a palindrome (1849559481).
It can be divided in two parts, 182841 and 1200, that added together give a square (184041 = 4292).
The spelling of 1828411200 in words is "one billion, eight hundred twenty-eight million, four hundred eleven thousand, two hundred".
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