| Base | Representation |
|---|---|
| bin | 1010101111000… |
| … | …0011110110000 |
| 3 | 10010201111222000 |
| 4 | 2223300132300 |
| 5 | 43011301300 |
| 6 | 4245014000 |
| 7 | 1054464543 |
| oct | 253603660 |
| 9 | 103644860 |
| 10 | 45025200 |
| 11 | 23463110 |
| 12 | 130b4300 |
| 13 | 9435c3c |
| 14 | 5da085a |
| 15 | 3e45c00 |
| hex | 2af07b0 |
45025200 has 240 divisors, whose sum is σ = 175286400. Its totient is φ = 10886400.
The previous prime is 45025177. The next prime is 45025207. The reversal of 45025200 is 252054.
45025200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (45025207) 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 47 ways as a sum of consecutive naturals, for example, 118611 + ... + 118989.
It is an arithmetic number, because the mean of its divisors is an integer number (730360).
Almost surely, 245025200 is an apocalyptic number.
45025200 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 45025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87643200).
45025200 is an abundant number, since it is smaller than the sum of its proper divisors (130261200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45025200 is a wasteful number, since it uses less digits than its factorization.
45025200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 417 (or 400 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 18.
The square root of 45025200 is about 6710.0819667125. The cubic root of 45025200 is about 355.7557134007.
Adding to 45025200 its reverse (252054), we get a palindrome (45277254).
The spelling of 45025200 in words is "forty-five million, twenty-five thousand, two hundred".
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