Base | Representation |
---|---|
bin | 101101101100… |
… | …1010100100000 |
3 | 1200002020022120 |
4 | 1123121110200 |
5 | 22113140231 |
6 | 2213304240 |
7 | 410434530 |
oct | 133312440 |
9 | 50066276 |
10 | 23958816 |
11 | 12584682 |
12 | 8035080 |
13 | 4c6b31b |
14 | 32794c0 |
15 | 2183d96 |
hex | 16d9520 |
23958816 has 96 divisors (see below), whose sum is σ = 72793728. Its totient is φ = 6758400.
The previous prime is 23958799. The next prime is 23958817. The reversal of 23958816 is 61885932.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is not an unprimeable number, because it can be changed into a prime (23958817) 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, 67696 + ... + 68048.
It is an arithmetic number, because the mean of its divisors is an integer number (758268).
Almost surely, 223958816 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 23958816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36396864).
23958816 is an abundant number, since it is smaller than the sum of its proper divisors (48834912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23958816 is a wasteful number, since it uses less digits than its factorization.
23958816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 474 (or 466 counting only the distinct ones).
The product of its digits is 103680, while the sum is 42.
The square root of 23958816 is about 4894.7743563927. The cubic root of 23958816 is about 288.2848262444.
It can be divided in two parts, 2395 and 8816, that added together give a palindrome (11211).
The spelling of 23958816 in words is "twenty-three million, nine hundred fifty-eight thousand, eight hundred sixteen".
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