Base | Representation |
---|---|
bin | 1010110100001… |
… | …1010100111100 |
3 | 10011100202110011 |
4 | 2231003110330 |
5 | 43103131130 |
6 | 4300153004 |
7 | 1060410064 |
oct | 255032474 |
9 | 104322404 |
10 | 45364540 |
11 | 23675061 |
12 | 13238764 |
13 | 9524530 |
14 | 604c3a4 |
15 | 3eb152a |
hex | 2b4353c |
45364540 has 48 divisors (see below), whose sum is σ = 103370400. Its totient is φ = 16623360.
The previous prime is 45364531. The next prime is 45364547. The reversal of 45364540 is 4546354.
45364540 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 not an unprimeable number, because it can be changed into a prime (45364547) by changing a digit.
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, 38155 + ... + 39325.
It is an arithmetic number, because the mean of its divisors is an integer number (2153550).
Almost surely, 245364540 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 45364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51685200).
45364540 is an abundant number, since it is smaller than the sum of its proper divisors (58005860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45364540 is a wasteful number, since it uses less digits than its factorization.
45364540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1342 (or 1340 counting only the distinct ones).
The product of its (nonzero) digits is 28800, while the sum is 31.
The square root of 45364540 is about 6735.3203338817. The cubic root of 45364540 is about 356.6472150959.
The spelling of 45364540 in words is "forty-five million, three hundred sixty-four thousand, five hundred forty".
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