Base | Representation |
---|---|
bin | 101011110111… |
… | …1010110000000 |
3 | 1121021112200110 |
4 | 1113233112000 |
5 | 21342003243 |
6 | 2140551320 |
7 | 366333462 |
oct | 127572600 |
9 | 47245613 |
10 | 23000448 |
11 | 11a8a639 |
12 | 7852540 |
13 | 49c4043 |
14 | 30aa132 |
15 | 2044e33 |
hex | 15ef580 |
23000448 has 64 divisors (see below), whose sum is σ = 61873200. Its totient is φ = 7569408.
The previous prime is 23000447. The next prime is 23000459. The reversal of 23000448 is 84400032.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23000447) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 33840 + ... + 34512.
Almost surely, 223000448 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 23000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30936600).
23000448 is an abundant number, since it is smaller than the sum of its proper divisors (38872752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23000448 is an equidigital number, since it uses as much as digits as its factorization.
23000448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 779 (or 767 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 23000448 is about 4795.8782303140. The cubic root of 23000448 is about 284.3885444259.
The spelling of 23000448 in words is "twenty-three million, four hundred forty-eight", and thus it is an aban number.
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