| Base | Representation |
|---|---|
| bin | 101100110001100010… |
| … | …001001100000000000 |
| 3 | 11121002110212100212120 |
| 4 | 230301202021200000 |
| 5 | 1241424333110043 |
| 6 | 34030300324240 |
| 7 | 3321234333450 |
| oct | 546142114000 |
| 9 | 147073770776 |
| 10 | 48075675648 |
| 11 | 19430513750 |
| 12 | 9398543680 |
| 13 | 46c21a0670 |
| 14 | 2480d33d60 |
| 15 | 13b597e983 |
| hex | b31889800 |
48075675648 has 384 divisors, whose sum is σ = 172111080960. Its totient is φ = 11525160960.
The previous prime is 48075675647. The next prime is 48075675653. The reversal of 48075675648 is 84657657084.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-3 number, since 3×480756756483 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 48075675591 and 48075675600.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48075675647) 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 31 ways as a sum of consecutive naturals, for example, 6146236 + ... + 6154052.
It is an arithmetic number, because the mean of its divisors is an integer number (448205940).
Almost surely, 248075675648 is an apocalyptic number.
48075675648 is a gapful number since it is divisible by the number (48) 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 48075675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86055540480).
48075675648 is an abundant number, since it is smaller than the sum of its proper divisors (124035405312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48075675648 is a wasteful number, since it uses less digits than its factorization.
48075675648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7873 (or 7853 counting only the distinct ones).
The product of its (nonzero) digits is 45158400, while the sum is 60.
The spelling of 48075675648 in words is "forty-eight billion, seventy-five million, six hundred seventy-five thousand, six hundred forty-eight".
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