Base | Representation |
---|---|
bin | 1010111000011… |
… | …1000100101110 |
3 | 10011212212002120 |
4 | 2232013010232 |
5 | 43141021110 |
6 | 4310133410 |
7 | 1062644100 |
oct | 256070456 |
9 | 104785076 |
10 | 45642030 |
11 | 23844595 |
12 | 13351266 |
13 | 95c0925 |
14 | 60c1570 |
15 | 4018870 |
hex | 2b8712e |
45642030 has 96 divisors (see below), whose sum is σ = 129768480. Its totient is φ = 10241280.
The previous prime is 45642019. The next prime is 45642073. The reversal of 45642030 is 3024654.
45642030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 89416 + ... + 89924.
It is an arithmetic number, because the mean of its divisors is an integer number (1351755).
Almost surely, 245642030 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45642030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64884240).
45642030 is an abundant number, since it is smaller than the sum of its proper divisors (84126450).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45642030 is a wasteful number, since it uses less digits than its factorization.
45642030 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 594 (or 587 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 24.
The square root of 45642030 is about 6755.8885425975. Note that the first 3 decimals coincide. The cubic root of 45642030 is about 357.3729282518.
Adding to 45642030 its reverse (3024654), we get a palindrome (48666684).
It can be divided in two parts, 456 and 42030, that added together give a triangular number (42486 = T291).
The spelling of 45642030 in words is "forty-five million, six hundred forty-two thousand, thirty".
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