Base | Representation |
---|---|
bin | 100001010001001… |
… | …000110011010001 |
3 | 1102220020111000000 |
4 | 201101020303101 |
5 | 2120341000000 |
6 | 131214520213 |
7 | 16555055100 |
oct | 4121106321 |
9 | 1386214000 |
10 | 558140625 |
11 | 267068349 |
12 | 136b06069 |
13 | 8b830933 |
14 | 541ac037 |
15 | 34000000 |
hex | 21448cd1 |
558140625 has 147 divisors (see below), whose sum is σ = 1216800831. Its totient is φ = 255150000.
The previous prime is 558140593. The next prime is 558140629. The reversal of 558140625 is 526041855.
The square root of 558140625 is 23625.
It is a perfect power (a square), and thus also a powerful number.
558140625 is a `hidden beast` number, since 558 + 1 + 40 + 62 + 5 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 488984769 + 69155856 = 22113^2 + 8316^2 .
It is a tau number, because it is divible by the number of its divisors (147).
It is not a de Polignac number, because 558140625 - 25 = 558140593 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 558140625.
It is not an unprimeable number, because it can be changed into a prime (558140629) 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 146 ways as a sum of consecutive naturals, for example, 79734372 + ... + 79734378.
Almost surely, 2558140625 is an apocalyptic number.
558140625 is the 23625-th square number.
558140625 is the 11813-rd centered octagonal number.
It is an amenable number.
558140625 is an abundant number, since it is smaller than the sum of its proper divisors (658660206).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
558140625 is an frugal number, since it uses more digits than its factorization.
558140625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62 (or 15 counting only the distinct ones).
The product of its (nonzero) digits is 48000, while the sum is 36.
The cubic root of 558140625 is about 823.3437847552.
Multiplying 558140625 by its sum of digits (36), we get a square (20093062500 = 1417502).
The spelling of 558140625 in words is "five hundred fifty-eight million, one hundred forty thousand, six hundred twenty-five".
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