| Base | Representation |
|---|---|
| bin | 1010100010010110… |
| … | …1001101010000000 |
| 3 | 21022010012202100000 |
| 4 | 2220211221222000 |
| 5 | 21243040122430 |
| 6 | 1144355200000 |
| 7 | 130043235201 |
| oct | 25045515200 |
| 9 | 7263182300 |
| 10 | 2828442240 |
| 11 | 1221644578 |
| 12 | 66b2a6000 |
| 13 | 360ca8180 |
| 14 | 1cb9095a8 |
| 15 | 1184a6e60 |
| hex | a8969a80 |
2828442240 has 384 divisors, whose sum is σ = 10915632000. Its totient is φ = 695734272.
The previous prime is 2828442193. The next prime is 2828442257. The reversal of 2828442240 is 422448282.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-3 number, since 3×28284422403 (a number of 29 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2828442195 and 2828442204.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021061 + ... + 2022459.
It is an arithmetic number, because the mean of its divisors is an integer number (28426125).
Almost surely, 22828442240 is an apocalyptic number.
2828442240 is a gapful number since it is divisible by the number (20) 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 2828442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457816000).
2828442240 is an abundant number, since it is smaller than the sum of its proper divisors (8087189760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2828442240 is a wasteful number, since it uses less digits than its factorization.
2828442240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1446 (or 1422 counting only the distinct ones).
The product of its (nonzero) digits is 65536, while the sum is 36.
The square root of 2828442240 is about 53183.1010754356. The cubic root of 2828442240 is about 1414.2160815776.
The spelling of 2828442240 in words is "two billion, eight hundred twenty-eight million, four hundred forty-two thousand, two hundred forty".
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