Base | Representation |
---|---|
bin | 1010110100001… |
… | …0111111000100 |
3 | 10011100200112022 |
4 | 2231002333010 |
5 | 43103110030 |
6 | 4300142312 |
7 | 1060403024 |
oct | 255027704 |
9 | 104320468 |
10 | 45363140 |
11 | 23673aa9 |
12 | 13237998 |
13 | 95239c4 |
14 | 604ba84 |
15 | 3eb0de5 |
hex | 2b42fc4 |
45363140 has 48 divisors (see below), whose sum is σ = 101942064. Its totient is φ = 16896000.
The previous prime is 45363133. The next prime is 45363161. The reversal of 45363140 is 4136354.
45363140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 15507844 + 29855296 = 3938^2 + 5464^2 .
It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.
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 15 ways as a sum of consecutive naturals, for example, 33680 + ... + 35000.
It is an arithmetic number, because the mean of its divisors is an integer number (2123793).
Almost surely, 245363140 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 45363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50971032).
45363140 is an abundant number, since it is smaller than the sum of its proper divisors (56578924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45363140 is a wasteful number, since it uses less digits than its factorization.
45363140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1448 (or 1446 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 26.
The square root of 45363140 is about 6735.2164033533. The cubic root of 45363140 is about 356.6435462153.
Adding to 45363140 its reverse (4136354), we get a palindrome (49499494).
The spelling of 45363140 in words is "forty-five million, three hundred sixty-three thousand, one hundred forty".
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