| Base | Representation |
|---|---|
| bin | 1010010001101010… |
| … | …0100011010000000 |
| 3 | 21010020110200020200 |
| 4 | 2210122210122000 |
| 5 | 21122124201123 |
| 6 | 1133414405200 |
| 7 | 125233152660 |
| oct | 24432443200 |
| 9 | 7106420220 |
| 10 | 2758428288 |
| 11 | 1196074000 |
| 12 | 64b960800 |
| 13 | 34c6331b5 |
| 14 | 1c24c21a0 |
| 15 | 112277143 |
| hex | a46a4680 |
2758428288 has 384 divisors, whose sum is σ = 10016922240. Its totient is φ = 713687040.
The previous prime is 2758428241. The next prime is 2758428289. The reversal of 2758428288 is 8828248572.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×27584282882 = 15217853240077221888, which contains 22 as substring.
Its product of digits (4587520) is a multiple of the sum of its prime divisors (280).
It is not an unprimeable number, because it can be changed into a prime (2758428289) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10733056 + ... + 10733312.
It is an arithmetic number, because the mean of its divisors is an integer number (26085735).
Almost surely, 22758428288 is an apocalyptic number.
2758428288 is a gapful number since it is divisible by the number (28) 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 2758428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008461120).
2758428288 is an abundant number, since it is smaller than the sum of its proper divisors (7258493952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2758428288 is a wasteful number, since it uses less digits than its factorization.
2758428288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 317 (or 280 counting only the distinct ones).
The product of its digits is 4587520, while the sum is 54.
The square root of 2758428288 is about 52520.7415027625. The cubic root of 2758428288 is about 1402.4495022187.
The spelling of 2758428288 in words is "two billion, seven hundred fifty-eight million, four hundred twenty-eight thousand, two hundred eighty-eight".
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