Base | Representation |
---|---|
bin | 101101101111… |
… | …0000001000100 |
3 | 1200010012201000 |
4 | 1123132001010 |
5 | 22114244202 |
6 | 2213533300 |
7 | 410544600 |
oct | 133360104 |
9 | 50105630 |
10 | 23978052 |
11 | 1259807a |
12 | 8044230 |
13 | 4c76cc7 |
14 | 3282500 |
15 | 218991c |
hex | 16de044 |
23978052 has 144 divisors (see below), whose sum is σ = 75841920. Its totient is φ = 6519744.
The previous prime is 23978051. The next prime is 23978069. The reversal of 23978052 is 25087932.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23977998 and 23978016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23978051) 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 47 ways as a sum of consecutive naturals, for example, 121618 + ... + 121814.
It is an arithmetic number, because the mean of its divisors is an integer number (526680).
Almost surely, 223978052 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 23978052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920960).
23978052 is an abundant number, since it is smaller than the sum of its proper divisors (51863868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23978052 is a wasteful number, since it uses less digits than its factorization.
23978052 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 247 (or 232 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 23978052 is about 4896.7389148289. The cubic root of 23978052 is about 288.3619580953.
The spelling of 23978052 in words is "twenty-three million, nine hundred seventy-eight thousand, fifty-two".
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