Base | Representation |
---|---|
bin | 10001100110011… |
… | …11000000000000 |
3 | 101021211022200102 |
4 | 20303033000000 |
5 | 300244223022 |
6 | 22352341532 |
7 | 3441664064 |
oct | 1063170000 |
9 | 337738612 |
10 | 147648512 |
11 | 76386570 |
12 | 415448a8 |
13 | 247877ab |
14 | 15875aa4 |
15 | ce67a92 |
hex | 8ccf000 |
147648512 has 104 divisors (see below), whose sum is σ = 336158640. Its totient is φ = 64225280.
The previous prime is 147648511. The next prime is 147648533. The reversal of 147648512 is 215846741.
147648512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (147648511) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306568 + ... + 1306680.
Almost surely, 2147648512 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 147648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168079320).
147648512 is an abundant number, since it is smaller than the sum of its proper divisors (188510128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147648512 is a wasteful number, since it uses less digits than its factorization.
147648512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 177 (or 155 counting only the distinct ones).
The product of its digits is 53760, while the sum is 38.
The square root of 147648512 is about 12151.0704055240. The cubic root of 147648512 is about 528.5381718128.
The spelling of 147648512 in words is "one hundred forty-seven million, six hundred forty-eight thousand, five hundred twelve".
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