Base | Representation |
---|---|
bin | 10011100111011… |
… | …10101001000000 |
3 | 102110122021110210 |
4 | 21303232221000 |
5 | 314111232303 |
6 | 24154554120 |
7 | 4035461100 |
oct | 1163565100 |
9 | 373567423 |
10 | 164555328 |
11 | 84983943 |
12 | 47138940 |
13 | 28127022 |
14 | 17bd7200 |
15 | e6a7203 |
hex | 9ceea40 |
164555328 has 84 divisors (see below), whose sum is σ = 506498352. Its totient is φ = 47013120.
The previous prime is 164555327. The next prime is 164555399. The reversal of 164555328 is 823555461.
It is a tau number, because it is divible by the number of its divisors (84).
It is not an unprimeable number, because it can be changed into a prime (164555327) 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 11 ways as a sum of consecutive naturals, for example, 663 + ... + 18153.
Almost surely, 2164555328 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 164555328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253249176).
164555328 is an abundant number, since it is smaller than the sum of its proper divisors (341943024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164555328 is a wasteful number, since it uses less digits than its factorization.
164555328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17520 (or 17503 counting only the distinct ones).
The product of its digits is 144000, while the sum is 39.
The square root of 164555328 is about 12827.9120670513. The cubic root of 164555328 is about 547.9874968288.
The spelling of 164555328 in words is "one hundred sixty-four million, five hundred fifty-five thousand, three hundred twenty-eight".
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