| Base | Representation |
|---|---|
| bin | 1010111110111000… |
| … | …0100010010000000 |
| 3 | 21121110100102210000 |
| 4 | 2233232010102000 |
| 5 | 22014202321320 |
| 6 | 1204311440000 |
| 7 | 133025225355 |
| oct | 25756042200 |
| 9 | 7543312700 |
| 10 | 2948088960 |
| 11 | 1283134963 |
| 12 | 6a3386000 |
| 13 | 37ca0a34b |
| 14 | 1dd77262c |
| 15 | 123c3cc90 |
| hex | afb84480 |
2948088960 has 640 divisors, whose sum is σ = 11396602800. Its totient is φ = 724598784.
The previous prime is 2948088953. The next prime is 2948088977. The reversal of 2948088960 is 698808492.
2948088960 is a `hidden beast` number, since 29 + 480 + 8 + 89 + 60 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2264998464 + 683090496 = 47592^2 + 26136^2 .
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 2948088897 and 2948088906.
It is an unprimeable number.
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 79 ways as a sum of consecutive naturals, for example, 55624294 + ... + 55624346.
Almost surely, 22948088960 is an apocalyptic number.
2948088960 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 2948088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698301400).
2948088960 is an abundant number, since it is smaller than the sum of its proper divisors (8448513840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2948088960 is a wasteful number, since it uses less digits than its factorization.
2948088960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150 (or 129 counting only the distinct ones).
The product of its (nonzero) digits is 1990656, while the sum is 54.
The square root of 2948088960 is about 54296.3070567419. The cubic root of 2948088960 is about 1433.8823803670.
The spelling of 2948088960 in words is "two billion, nine hundred forty-eight million, eighty-eight thousand, nine hundred sixty".
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