Base | Representation |
---|---|
bin | 10011101001101… |
… | …10010010111000 |
3 | 102111012012002000 |
4 | 21310312102320 |
5 | 314200130244 |
6 | 24205141000 |
7 | 4041122550 |
oct | 1164662270 |
9 | 374165060 |
10 | 164848824 |
11 | 850643a8 |
12 | 4725a760 |
13 | 281ca7aa |
14 | 17c72160 |
15 | e714169 |
hex | 9d364b8 |
164848824 has 128 divisors (see below), whose sum is σ = 540364800. Its totient is φ = 45567360.
The previous prime is 164848811. The next prime is 164848829. The reversal of 164848824 is 428848461.
164848824 is a `hidden beast` number, since 164 + 8 + 488 + 2 + 4 = 666.
164848824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 164848824.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164848829) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45114 + ... + 48630.
It is an arithmetic number, because the mean of its divisors is an integer number (4221600).
Almost surely, 2164848824 is an apocalyptic number.
164848824 is a gapful number since it is divisible by the number (14) 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 164848824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270182400).
164848824 is an abundant number, since it is smaller than the sum of its proper divisors (375515976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164848824 is a wasteful number, since it uses less digits than its factorization.
164848824 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3570 (or 3560 counting only the distinct ones).
The product of its digits is 393216, while the sum is 45.
The square root of 164848824 is about 12839.3467123526. The cubic root of 164848824 is about 548.3130947426.
The spelling of 164848824 in words is "one hundred sixty-four million, eight hundred forty-eight thousand, eight hundred twenty-four".
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