| Base | Representation |
|---|---|
| bin | 1010110101101… |
| … | …1001011100000 |
| 3 | 10011112201110200 |
| 4 | 2231123023200 |
| 5 | 43114242430 |
| 6 | 4302225200 |
| 7 | 1061264655 |
| oct | 255331340 |
| 9 | 104481420 |
| 10 | 45462240 |
| 11 | 237314aa |
| 12 | 13285200 |
| 13 | 9559b45 |
| 14 | 6075c2c |
| 15 | 3ed0460 |
| hex | 2b5b2e0 |
45462240 has 144 divisors (see below), whose sum is σ = 156972816. Its totient is φ = 11980800.
The previous prime is 45462239. The next prime is 45462253. The reversal of 45462240 is 4226454.
45462240 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 (144).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 188520 + ... + 188760.
It is an arithmetic number, because the mean of its divisors is an integer number (1090089).
Almost surely, 245462240 is an apocalyptic number.
45462240 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 45462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78486408).
45462240 is an abundant number, since it is smaller than the sum of its proper divisors (111510576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45462240 is a wasteful number, since it uses less digits than its factorization.
45462240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 393 (or 382 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
The square root of 45462240 is about 6742.5692432485. The cubic root of 45462240 is about 356.9030643296.
Adding to 45462240 its reverse (4226454), we get a palindrome (49688694).
It can be divided in two parts, 4546 and 2240, that added together give a triangular number (6786 = T116).
The spelling of 45462240 in words is "forty-five million, four hundred sixty-two thousand, two hundred forty".
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