| Base | Representation |
|---|---|
| bin | 1010111000011… |
| … | …1110011001000 |
| 3 | 10011220000011120 |
| 4 | 2232013303020 |
| 5 | 43141120000 |
| 6 | 4310155240 |
| 7 | 1062655542 |
| oct | 256076310 |
| 9 | 104800146 |
| 10 | 45645000 |
| 11 | 23846845 |
| 12 | 13352b20 |
| 13 | 95c209b |
| 14 | 60c2692 |
| 15 | 40196a0 |
| hex | 2b87cc8 |
45645000 has 160 divisors (see below), whose sum is σ = 151826400. Its totient is φ = 11392000.
The previous prime is 45644981. The next prime is 45645001. The reversal of 45645000 is 54654.
45645000 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-3 number, since 3×456450003 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (45645001) 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 39 ways as a sum of consecutive naturals, for example, 254911 + ... + 255089.
It is an arithmetic number, because the mean of its divisors is an integer number (948915).
Almost surely, 245645000 is an apocalyptic number.
45645000 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 45645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75913200).
45645000 is an abundant number, since it is smaller than the sum of its proper divisors (106181400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45645000 is a wasteful number, since it uses less digits than its factorization.
45645000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 225 (or 206 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 24.
The square root of 45645000 is about 6756.1083472662. The cubic root of 45645000 is about 357.3806796933.
Adding to 45645000 its reverse (54654), we get a palindrome (45699654).
The spelling of 45645000 in words is "forty-five million, six hundred forty-five thousand".
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