| Base | Representation |
|---|---|
| bin | 1010111010111… |
| … | …1100110000000 |
| 3 | 10012012021202121 |
| 4 | 2232233212000 |
| 5 | 43211324000 |
| 6 | 4313454024 |
| 7 | 1064235010 |
| oct | 256574600 |
| 9 | 105167677 |
| 10 | 45808000 |
| 11 | 23948257 |
| 12 | 13411314 |
| 13 | 964b334 |
| 14 | 6125c40 |
| 15 | 404cb1a |
| hex | 2baf980 |
45808000 has 128 divisors (see below), whose sum is σ = 130478400. Its totient is φ = 15667200.
The previous prime is 45807997. The next prime is 45808003. The reversal of 45808000 is 80854.
45808000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (45807997) and next prime (45808003).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45808003) 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, 111796 + ... + 112204.
Almost surely, 245808000 is an apocalyptic number.
45808000 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 45808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65239200).
45808000 is an abundant number, since it is smaller than the sum of its proper divisors (84670400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45808000 is an equidigital number, since it uses as much as digits as its factorization.
45808000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 445 (or 423 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 25.
The square root of 45808000 is about 6768.1607545920. The cubic root of 45808000 is about 357.8055809001.
Adding to 45808000 its reverse (80854), we get a palindrome (45888854).
The spelling of 45808000 in words is "forty-five million, eight hundred eight thousand".
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