| Base | Representation |
|---|---|
| bin | 1010111100011… |
| … | …0000011100000 |
| 3 | 10012100221222000 |
| 4 | 2233012003200 |
| 5 | 43222300000 |
| 6 | 4315444000 |
| 7 | 1065100146 |
| oct | 257060340 |
| 9 | 105327860 |
| 10 | 45900000 |
| 11 | 23a00393 |
| 12 | 13456600 |
| 13 | 9681183 |
| 14 | 614b596 |
| 15 | 406a000 |
| hex | 2bc60e0 |
45900000 has 288 divisors, whose sum is σ = 177176160. Its totient is φ = 11520000.
The previous prime is 45899989. The next prime is 45900007. The reversal of 45900000 is 954.
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45900007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699992 + ... + 2700008.
It is an arithmetic number, because the mean of its divisors is an integer number (615195).
Almost surely, 245900000 is an apocalyptic number.
45900000 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 45900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88588080).
45900000 is an abundant number, since it is smaller than the sum of its proper divisors (131276160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45900000 is an equidigital number, since it uses as much as digits as its factorization.
45900000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61 (or 27 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 45900000 is about 6774.9538743817. The cubic root of 45900000 is about 358.0449575782.
Adding to 45900000 its reverse (954), we get a palindrome (45900954).
The spelling of 45900000 in words is "forty-five million, nine hundred thousand".
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