Base | Representation |
---|---|
bin | 100000001101011… |
… | …010110011101000 |
3 | 1101122211120210000 |
4 | 200031122303220 |
5 | 2101314413314 |
6 | 125342223000 |
7 | 16251140631 |
oct | 4015326350 |
9 | 1348746700 |
10 | 540388584 |
11 | 258042a3a |
12 | 130b84a60 |
13 | 87c56778 |
14 | 51aaa888 |
15 | 32695209 |
hex | 2035ace8 |
540388584 has 40 divisors (see below), whose sum is σ = 1513590210. Its totient is φ = 180129312.
The previous prime is 540388579. The next prime is 540388601. The reversal of 540388584 is 485883045.
It can be written as a sum of positive squares in only one way, i.e., 534996900 + 5391684 = 23130^2 + 2322^2 .
It is an unprimeable number.
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 9 ways as a sum of consecutive naturals, for example, 416319 + ... + 417614.
Almost surely, 2540388584 is an apocalyptic number.
540388584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
It is an amenable number.
540388584 is an abundant number, since it is smaller than the sum of its proper divisors (973201626).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540388584 is a wasteful number, since it uses less digits than its factorization.
540388584 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 833951 (or 833938 counting only the distinct ones).
The product of its (nonzero) digits is 614400, while the sum is 45.
The square root of 540388584 is about 23246.2595700900. The cubic root of 540388584 is about 814.5205676358.
The spelling of 540388584 in words is "five hundred forty million, three hundred eighty-eight thousand, five hundred eighty-four".
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