Base | Representation |
---|---|
bin | 1010110011101… |
… | …1000011000000 |
3 | 10011022000221000 |
4 | 2230323003000 |
5 | 43101034444 |
6 | 4255332000 |
7 | 1060206153 |
oct | 254730300 |
9 | 104260830 |
10 | 45330624 |
11 | 23651629 |
12 | 13221000 |
13 | 9511c71 |
14 | 603dc9a |
15 | 3ea6469 |
hex | 2b3b0c0 |
45330624 has 112 divisors (see below), whose sum is σ = 137058400. Its totient is φ = 14681088.
The previous prime is 45330617. The next prime is 45330629. The reversal of 45330624 is 42603354.
45330624 is a `hidden beast` number, since 4 + 5 + 3 + 30 + 624 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (45330629) 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, 63582 + ... + 64290.
Almost surely, 245330624 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 45330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68529200).
45330624 is an abundant number, since it is smaller than the sum of its proper divisors (91727776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45330624 is a wasteful number, since it uses less digits than its factorization.
45330624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 767 (or 751 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 27.
The square root of 45330624 is about 6732.8020912544. The cubic root of 45330624 is about 356.5583125987.
Adding to 45330624 its reverse (42603354), we get a palindrome (87933978).
It can be divided in two parts, 45330 and 624, that added together give a palindrome (45954).
The spelling of 45330624 in words is "forty-five million, three hundred thirty thousand, six hundred twenty-four".
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