Base | Representation |
---|---|
bin | 1010110011001… |
… | …1101011010000 |
3 | 10011020111111210 |
4 | 2230303223100 |
5 | 43044103212 |
6 | 4254540120 |
7 | 1060022142 |
oct | 254635320 |
9 | 104214453 |
10 | 45300432 |
11 | 23630981 |
12 | 13207640 |
13 | 95012b8 |
14 | 6032c92 |
15 | 3e9c53c |
hex | 2b33ad0 |
45300432 has 80 divisors (see below), whose sum is σ = 125527680. Its totient is φ = 14040576.
The previous prime is 45300421. The next prime is 45300439. The reversal of 45300432 is 23400354.
It is a happy number.
45300432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 45300399 and 45300408.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45300439) 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, 40294 + ... + 41402.
It is an arithmetic number, because the mean of its divisors is an integer number (1569096).
Almost surely, 245300432 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 45300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62763840).
45300432 is an abundant number, since it is smaller than the sum of its proper divisors (80227248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45300432 is a wasteful number, since it uses less digits than its factorization.
45300432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 21.
The square root of 45300432 is about 6730.5595606903. The cubic root of 45300432 is about 356.4791343411.
Adding to 45300432 its reverse (23400354), we get a palindrome (68700786).
The spelling of 45300432 in words is "forty-five million, three hundred thousand, four hundred thirty-two".
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