Base | Representation |
---|---|
bin | 101101011110… |
… | …0000001100000 |
3 | 1122212010201010 |
4 | 1122330001200 |
5 | 22100320231 |
6 | 2210540520 |
7 | 406424631 |
oct | 132740140 |
9 | 48763633 |
10 | 23838816 |
11 | 12502501 |
12 | 7b97740 |
13 | 4c28811 |
14 | 3247888 |
15 | 215d546 |
hex | 16bc060 |
23838816 has 48 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 7905408.
The previous prime is 23838799. The next prime is 23838821. The reversal of 23838816 is 61883832.
It is a tau number, because it is divible by the number of its divisors (48).
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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22425 + ... + 23463.
It is an arithmetic number, because the mean of its divisors is an integer number (1310400).
Almost surely, 223838816 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 23838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).
23838816 is an abundant number, since it is smaller than the sum of its proper divisors (39060384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23838816 is a wasteful number, since it uses less digits than its factorization.
23838816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1291 (or 1283 counting only the distinct ones).
The product of its digits is 55296, while the sum is 39.
The square root of 23838816 is about 4882.5009984638. The cubic root of 23838816 is about 287.8027198321.
The spelling of 23838816 in words is "twenty-three million, eight hundred thirty-eight thousand, eight hundred sixteen".
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