Base | Representation |
---|---|
bin | 10100000011010… |
… | …11011111100000 |
3 | 102201112002002200 |
4 | 22001223133200 |
5 | 321030244243 |
6 | 24405213200 |
7 | 4111532205 |
oct | 1201533740 |
9 | 381462080 |
10 | 168212448 |
11 | 86a51558 |
12 | 48401200 |
13 | 28b077c1 |
14 | 184a9cac |
15 | eb7aad3 |
hex | a06b7e0 |
168212448 has 144 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 53372160.
The previous prime is 168212437. The next prime is 168212459. The reversal of 168212448 is 844212861.
It is an interprime number because it is at equal distance from previous prime (168212437) and next prime (168212459).
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 a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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, 740911 + ... + 741137.
It is an arithmetic number, because the mean of its divisors is an integer number (3485664).
Almost surely, 2168212448 is an apocalyptic number.
168212448 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 168212448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).
168212448 is an abundant number, since it is smaller than the sum of its proper divisors (333723168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168212448 is a wasteful number, since it uses less digits than its factorization.
168212448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 357 (or 346 counting only the distinct ones).
The product of its digits is 24576, while the sum is 36.
The square root of 168212448 is about 12969.6741670714. The cubic root of 168212448 is about 552.0173277484.
The spelling of 168212448 in words is "one hundred sixty-eight million, two hundred twelve thousand, four hundred forty-eight".
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