| Base | Representation |
|---|---|
| bin | 1010110011010… |
| … | …0110101110000 |
| 3 | 10011020202001101 |
| 4 | 2230310311300 |
| 5 | 43044231300 |
| 6 | 4255014144 |
| 7 | 1060042063 |
| oct | 254646560 |
| 9 | 104222041 |
| 10 | 45305200 |
| 11 | 23634516 |
| 12 | 1320a354 |
| 13 | 9503515 |
| 14 | 60348da |
| 15 | 3e9db6a |
| hex | 2b34d70 |
45305200 has 60 divisors (see below), whose sum is σ = 109600128. Its totient is φ = 17996800.
The previous prime is 45305179. The next prime is 45305201. The reversal of 45305200 is 250354.
It is a happy number.
45305200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×453052002 = 4105122294080000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45305201) 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 11 ways as a sum of consecutive naturals, for example, 76104 + ... + 76696.
Almost surely, 245305200 is an apocalyptic number.
45305200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800064).
45305200 is an abundant number, since it is smaller than the sum of its proper divisors (64294928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45305200 is a wasteful number, since it uses less digits than its factorization.
45305200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 802 (or 791 counting only the distinct ones).
The product of its (nonzero) digits is 600, while the sum is 19.
The square root of 45305200 is about 6730.9137566901. The cubic root of 45305200 is about 356.4916407184.
Adding to 45305200 its reverse (250354), we get a palindrome (45555554).
It can be divided in two parts, 4530 and 5200, that added together give a triangular number (9730 = T139).
The spelling of 45305200 in words is "forty-five million, three hundred five thousand, two hundred".
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