Base | Representation |
---|---|
bin | 1010110101001… |
… | …1010110000000 |
3 | 10011111002102221 |
4 | 2231103112000 |
5 | 43112231034 |
6 | 4301420424 |
7 | 1061102254 |
oct | 255232600 |
9 | 104432387 |
10 | 45430144 |
11 | 2370a381 |
12 | 1326a714 |
13 | 9548356 |
14 | 6068264 |
15 | 3ec5bb4 |
hex | 2b53580 |
45430144 has 32 divisors (see below), whose sum is σ = 91463400. Its totient is φ = 22474752.
The previous prime is 45430141. The next prime is 45430157. The reversal of 45430144 is 44103454.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45430141) 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 3 ways as a sum of consecutive naturals, for example, 10587 + ... + 14245.
Almost surely, 245430144 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 45430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45731700).
45430144 is an abundant number, since it is smaller than the sum of its proper divisors (46033256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45430144 is an equidigital number, since it uses as much as digits as its factorization.
45430144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3770 (or 3758 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 25.
The square root of 45430144 is about 6740.1887213935. The cubic root of 45430144 is about 356.8190542620.
Adding to 45430144 its reverse (44103454), we get a palindrome (89533598).
The spelling of 45430144 in words is "forty-five million, four hundred thirty thousand, one hundred forty-four".
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