Base | Representation |
---|---|
bin | 10110100111000… |
… | …11100010000000 |
3 | 111012220112002000 |
4 | 23103203202000 |
5 | 342024110043 |
6 | 30453224000 |
7 | 4462134141 |
oct | 1323434200 |
9 | 435815060 |
10 | 189675648 |
11 | 98081138 |
12 | 53632000 |
13 | 303b0c16 |
14 | 1b295ac8 |
15 | 119ba2d3 |
hex | b4e3880 |
189675648 has 128 divisors (see below), whose sum is σ = 568425600. Its totient is φ = 62254080.
The previous prime is 189675589. The next prime is 189675649. The reversal of 189675648 is 846576981.
189675648 is a `hidden beast` number, since 18 + 9 + 67 + 564 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 189675594 and 189675603.
It is not an unprimeable number, because it can be changed into a prime (189675649) 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 15 ways as a sum of consecutive naturals, for example, 244990 + ... + 245762.
It is an arithmetic number, because the mean of its divisors is an integer number (4440825).
Almost surely, 2189675648 is an apocalyptic number.
189675648 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 189675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284212800).
189675648 is an abundant number, since it is smaller than the sum of its proper divisors (378749952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189675648 is an equidigital number, since it uses as much as digits as its factorization.
189675648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 867 (or 849 counting only the distinct ones).
The product of its digits is 2903040, while the sum is 54.
The square root of 189675648 is about 13772.2782429052. The cubic root of 189675648 is about 574.5623871331.
The spelling of 189675648 in words is "one hundred eighty-nine million, six hundred seventy-five thousand, six hundred forty-eight".
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