Base | Representation |
---|---|
bin | 100010011111… |
… | …0101101000000 |
3 | 1021000200200211 |
4 | 1010332231000 |
5 | 14112120444 |
6 | 1443323504 |
7 | 306462010 |
oct | 104765500 |
9 | 37020624 |
10 | 18082624 |
11 | a23081a |
12 | 6080594 |
13 | 39917a1 |
14 | 2589c40 |
15 | 18c2c34 |
hex | 113eb40 |
18082624 has 56 divisors (see below), whose sum is σ = 41420288. Its totient is φ = 7672320.
The previous prime is 18082621. The next prime is 18082627. The reversal of 18082624 is 42628081.
It is an interprime number because it is at equal distance from previous prime (18082621) and next prime (18082627).
It is a tau number, because it is divible by the number of its divisors (56).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18082621) 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, 80977 + ... + 81199.
It is an arithmetic number, because the mean of its divisors is an integer number (739648).
Almost surely, 218082624 is an apocalyptic number.
18082624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18082624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710144).
18082624 is an abundant number, since it is smaller than the sum of its proper divisors (23337664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18082624 is a wasteful number, since it uses less digits than its factorization.
18082624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 423 (or 413 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 31.
The square root of 18082624 is about 4252.3668703441. The cubic root of 18082624 is about 262.4745202782.
The spelling of 18082624 in words is "eighteen million, eighty-two thousand, six hundred twenty-four".
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