| Base | Representation |
|---|---|
| bin | 1010111100000… |
| … | …1101010010000 |
| 3 | 10012100001021100 |
| 4 | 2233001222100 |
| 5 | 43221211000 |
| 6 | 4315224400 |
| 7 | 1064663523 |
| oct | 257015220 |
| 9 | 105301240 |
| 10 | 45882000 |
| 11 | 2399890a |
| 12 | 13448100 |
| 13 | 9675c18 |
| 14 | 6144bba |
| 15 | 4064a00 |
| hex | 2bc1a90 |
45882000 has 120 divisors (see below), whose sum is σ = 160313400. Its totient is φ = 12230400.
The previous prime is 45881981. The next prime is 45882007. The reversal of 45882000 is 28854.
45882000 is a `hidden beast` number, since 458 + 8 + 200 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 45805824 = 276^2 + 6768^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is not an unprimeable number, because it can be changed into a prime (45882007) 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 23 ways as a sum of consecutive naturals, for example, 16726 + ... + 19274.
It is an arithmetic number, because the mean of its divisors is an integer number (1335945).
Almost surely, 245882000 is an apocalyptic number.
45882000 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 45882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80156700).
45882000 is an abundant number, since it is smaller than the sum of its proper divisors (114431400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45882000 is a wasteful number, since it uses less digits than its factorization.
45882000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2578 (or 2559 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 27.
The square root of 45882000 is about 6773.6253217904. The cubic root of 45882000 is about 357.9981481964.
It can be divided in two parts, 45 and 882000, that multiplied together give a square (39690000 = 63002).
The spelling of 45882000 in words is "forty-five million, eight hundred eighty-two thousand".
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