Base | Representation |
---|---|
bin | 101100101110101101… |
… | …111001111100000000 |
3 | 11120222011221211112000 |
4 | 230232231321330000 |
5 | 1241330234112414 |
6 | 34021451504000 |
7 | 3320121612360 |
oct | 545655717400 |
9 | 146864854460 |
10 | 48028425984 |
11 | 19406881340 |
12 | 9384758000 |
13 | 46b5469096 |
14 | 24789549a0 |
15 | 13b1749b09 |
hex | b2eb79f00 |
48028425984 has 1152 divisors, whose sum is σ = 189882040320. Its totient is φ = 11612160000.
The previous prime is 48028425983. The next prime is 48028425997. The reversal of 48028425984 is 48952482084.
48028425984 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 8 + 42 + 598 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 48028425984.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48028425983) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 676456669 + ... + 676456739.
It is an arithmetic number, because the mean of its divisors is an integer number (164828160).
Almost surely, 248028425984 is an apocalyptic number.
48028425984 is a gapful number since it is divisible by the number (44) 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 48028425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94941020160).
48028425984 is an abundant number, since it is smaller than the sum of its proper divisors (141853614336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48028425984 is a wasteful number, since it uses less digits than its factorization.
48028425984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 186 (or 166 counting only the distinct ones).
The product of its (nonzero) digits is 5898240, while the sum is 54.
The spelling of 48028425984 in words is "forty-eight billion, twenty-eight million, four hundred twenty-five thousand, nine hundred eighty-four".
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