| Base | Representation |
|---|---|
| bin | 1010111010111… |
| … | …1000011000000 |
| 3 | 10012012011200122 |
| 4 | 2232233003000 |
| 5 | 43211241020 |
| 6 | 4313435412 |
| 7 | 1064225330 |
| oct | 256570300 |
| 9 | 105164618 |
| 10 | 45805760 |
| 11 | 23946600 |
| 12 | 1340bb68 |
| 13 | 964a300 |
| 14 | 61250c0 |
| 15 | 404c125 |
| hex | 2baf0c0 |
45805760 has 252 divisors, whose sum is σ = 148370544. Its totient is φ = 13178880.
The previous prime is 45805723. The next prime is 45805763. The reversal of 45805760 is 6750854.
It is a super-3 number, since 3×458057603 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 45805760.
It is not an unprimeable number, because it can be changed into a prime (45805763) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3523514 + ... + 3523526.
It is an arithmetic number, because the mean of its divisors is an integer number (588772).
Almost surely, 245805760 is an apocalyptic number.
45805760 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 45805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74185272).
45805760 is an abundant number, since it is smaller than the sum of its proper divisors (102564784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45805760 is a wasteful number, since it uses less digits than its factorization.
45805760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72 (or 38 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 35.
The square root of 45805760 is about 6767.9952718660. The cubic root of 45805760 is about 357.7997486033.
Multiplying 45805760 by its sum of digits (35), we get a square (1603201600 = 400402).
45805760 divided by its sum of digits (35) gives a square (1308736 = 11442).
The spelling of 45805760 in words is "forty-five million, eight hundred five thousand, seven hundred sixty".
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