Base | Representation |
---|---|
bin | 101101011001… |
… | …1000110100000 |
3 | 1122210021120122 |
4 | 1122303012200 |
5 | 22043133042 |
6 | 2210055412 |
7 | 406213244 |
oct | 132630640 |
9 | 48707518 |
10 | 23802272 |
11 | 12487aaa |
12 | 7b7a568 |
13 | 4c14cb0 |
14 | 3238424 |
15 | 21527d2 |
hex | 16b31a0 |
23802272 has 48 divisors (see below), whose sum is σ = 52232040. Its totient is φ = 10601472.
The previous prime is 23802271. The next prime is 23802287. The reversal of 23802272 is 27220832.
It can be written as a sum of positive squares in 4 ways, for example, as 13278736 + 10523536 = 3644^2 + 3244^2 .
It is a Harshad number since it is a multiple of its sum of digits (26).
It is not an unprimeable number, because it can be changed into a prime (23802271) 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 7 ways as a sum of consecutive naturals, for example, 11078 + ... + 13050.
Almost surely, 223802272 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 23802272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26116020).
23802272 is an abundant number, since it is smaller than the sum of its proper divisors (28429768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23802272 is a wasteful number, since it uses less digits than its factorization.
With its successor (23802273) it forms an eRAP, since the sums of their prime factors are consecutive (2025 and 2026).
23802272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2025 (or 2017 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 26.
The square root of 23802272 is about 4878.7572188007. The cubic root of 23802272 is about 287.6555810723.
The spelling of 23802272 in words is "twenty-three million, eight hundred two thousand, two hundred seventy-two".
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