Base | Representation |
---|---|
bin | 10011100111111… |
… | …00001110000000 |
3 | 102110202002202122 |
4 | 21303330032000 |
5 | 314120022234 |
6 | 24200103412 |
7 | 4036112201 |
oct | 1163741600 |
9 | 373662678 |
10 | 164610944 |
11 | 84a11703 |
12 | 47164b68 |
13 | 28146434 |
14 | 17c0d5a8 |
15 | e6b892e |
hex | 9cfc380 |
164610944 has 64 divisors (see below), whose sum is σ = 339292800. Its totient is φ = 79511040.
The previous prime is 164610937. The next prime is 164610947. The reversal of 164610944 is 449016461.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1646109442 = 54193525769142272, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164610947) 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 7 ways as a sum of consecutive naturals, for example, 536039 + ... + 536345.
It is an arithmetic number, because the mean of its divisors is an integer number (5301450).
Almost surely, 2164610944 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 164610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).
164610944 is an abundant number, since it is smaller than the sum of its proper divisors (174681856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164610944 is an equidigital number, since it uses as much as digits as its factorization.
164610944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 451 (or 439 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 35.
The square root of 164610944 is about 12830.0796568065. The cubic root of 164610944 is about 548.0492256915.
The spelling of 164610944 in words is "one hundred sixty-four million, six hundred ten thousand, nine hundred forty-four".
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