Base | Representation |
---|---|
bin | 1010111010011… |
… | …1101000110000 |
3 | 10012010122001111 |
4 | 2232213220300 |
5 | 43204303113 |
6 | 4313043104 |
7 | 1064041000 |
oct | 256475060 |
9 | 105118044 |
10 | 45775408 |
11 | 23925818 |
12 | 133b6494 |
13 | 9639553 |
14 | 6118000 |
15 | 404313d |
hex | 2ba7a30 |
45775408 has 80 divisors (see below), whose sum is σ = 109120000. Its totient is φ = 18543168.
The previous prime is 45775403. The next prime is 45775417. The reversal of 45775408 is 80457754.
45775408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (45775403) 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, 104053 + ... + 104491.
It is an arithmetic number, because the mean of its divisors is an integer number (1364000).
Almost surely, 245775408 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45775408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54560000).
45775408 is an abundant number, since it is smaller than the sum of its proper divisors (63344592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45775408 is a wasteful number, since it uses less digits than its factorization.
45775408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 487 (or 467 counting only the distinct ones).
The product of its (nonzero) digits is 156800, while the sum is 40.
The square root of 45775408 is about 6765.7525819379. The cubic root of 45775408 is about 357.7207022305.
The spelling of 45775408 in words is "forty-five million, seven hundred seventy-five thousand, four hundred eight".
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