| Base | Representation |
|---|---|
| bin | 101100110000100101… |
| … | …101011111001100000 |
| 3 | 11121001101001002220200 |
| 4 | 230300211223321200 |
| 5 | 1241411303411020 |
| 6 | 34024532505200 |
| 7 | 3320652531042 |
| oct | 546045537140 |
| 9 | 147041032820 |
| 10 | 48059825760 |
| 11 | 19422578471 |
| 12 | 939317b200 |
| 13 | 46bbb1122b |
| 14 | 247cba9a92 |
| 15 | 13b439d590 |
| hex | b3096be60 |
48059825760 has 288 divisors, whose sum is σ = 169624046592. Its totient is φ = 12378424320.
The previous prime is 48059825731. The next prime is 48059825761. The reversal of 48059825760 is 6752895084.
48059825760 is a `hidden beast` number, since 48 + 0 + 598 + 2 + 5 + 7 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×480598257603 (a number of 33 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 48059825697 and 48059825706.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48059825761) 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 47 ways as a sum of consecutive naturals, for example, 40487887 + ... + 40489073.
It is an arithmetic number, because the mean of its divisors is an integer number (588972384).
Almost surely, 248059825760 is an apocalyptic number.
48059825760 is a gapful number since it is divisible by the number (40) 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 48059825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84812023296).
48059825760 is an abundant number, since it is smaller than the sum of its proper divisors (121564220832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48059825760 is a wasteful number, since it uses less digits than its factorization.
48059825760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2146 (or 2135 counting only the distinct ones).
The product of its (nonzero) digits is 4838400, while the sum is 54.
The spelling of 48059825760 in words is "forty-eight billion, fifty-nine million, eight hundred twenty-five thousand, seven hundred sixty".
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