Base | Representation |
---|---|
bin | 10011011101101… |
… | …01101000100000 |
3 | 102101020010210100 |
4 | 21232311220200 |
5 | 313244220443 |
6 | 24111302400 |
7 | 4021541205 |
oct | 1156655040 |
9 | 371203710 |
10 | 163273248 |
11 | 84188676 |
12 | 4681aa00 |
13 | 27a985b8 |
14 | 17981cac |
15 | e5023d3 |
hex | 9bb5a20 |
163273248 has 144 divisors (see below), whose sum is σ = 487370520. Its totient is φ = 51781632.
The previous prime is 163273247. The next prime is 163273261. The reversal of 163273248 is 842372361.
It is a happy number.
163273248 is a `hidden beast` number, since 1 + 6 + 327 + 324 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 130233744 + 33039504 = 11412^2 + 5748^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (163273247) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 943690 + ... + 943862.
Almost surely, 2163273248 is an apocalyptic number.
163273248 is a gapful number since it is divisible by the number (18) 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 163273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243685260).
163273248 is an abundant number, since it is smaller than the sum of its proper divisors (324097272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163273248 is a wasteful number, since it uses less digits than its factorization.
163273248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 331 (or 320 counting only the distinct ones).
The product of its digits is 48384, while the sum is 36.
The square root of 163273248 is about 12777.8420713358. The cubic root of 163273248 is about 546.5606285174.
The spelling of 163273248 in words is "one hundred sixty-three million, two hundred seventy-three thousand, two hundred forty-eight".
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