| Base | Representation |
|---|---|
| bin | 1011011110111… |
| … | …0100000000000 |
| 3 | 10100121220222000 |
| 4 | 2313232200000 |
| 5 | 44312202231 |
| 6 | 4440144000 |
| 7 | 1123243242 |
| oct | 267564000 |
| 9 | 110556860 |
| 10 | 48162816 |
| 11 | 25206489 |
| 12 | 14168000 |
| 13 | 9c94110 |
| 14 | 657a092 |
| 15 | 43656e6 |
| hex | 2dee800 |
48162816 has 192 divisors, whose sum is σ = 155937600. Its totient is φ = 14598144.
The previous prime is 48162811. The next prime is 48162841. The reversal of 48162816 is 61826184.
It is a tau number, because it is divible by the number of its divisors (192).
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48162811) 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, 718815 + ... + 718881.
It is an arithmetic number, because the mean of its divisors is an integer number (812175).
Almost surely, 248162816 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 48162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).
48162816 is an abundant number, since it is smaller than the sum of its proper divisors (107774784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48162816 is a wasteful number, since it uses less digits than its factorization.
48162816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 111 (or 85 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 48162816 is about 6939.9435156203. The cubic root of 48162816 is about 363.8345663727.
It can be divided in two parts, 4 and 8162816, that added together give a triangular number (8162820 = T4040).
The spelling of 48162816 in words is "forty-eight million, one hundred sixty-two thousand, eight hundred sixteen".
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