| Base | Representation |
|---|---|
| bin | 1010001001101… |
| … | …0011100001001 |
| 3 | 2222010001210000 |
| 4 | 2202122130021 |
| 5 | 41344410000 |
| 6 | 4120313213 |
| 7 | 1024613121 |
| oct | 242323411 |
| 9 | 88101700 |
| 10 | 42575625 |
| 11 | 2203a774 |
| 12 | 12312809 |
| 13 | 8a88ca1 |
| 14 | 5923c81 |
| 15 | 3b10000 |
| hex | 289a709 |
42575625 has 75 divisors (see below), whose sum is σ = 82310371. Its totient is φ = 21924000.
The previous prime is 42575623. The next prime is 42575653. The reversal of 42575625 is 52657524.
The square root of 42575625 is 6525.
It is a perfect power (a square), and thus also a powerful number.
42575625 is a `hidden beast` number, since 4 + 25 + 7 + 5 + 625 = 666.
It can be written as a sum of positive squares in 7 ways, for example, as 31843449 + 10732176 = 5643^2 + 3276^2 .
It is a tau number, because it is divible by the number of its divisors (75).
It is not a de Polignac number, because 42575625 - 21 = 42575623 is a prime.
It is a Duffinian number.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 42575625.
It is not an unprimeable number, because it can be changed into a prime (42575623) 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 74 ways as a sum of consecutive naturals, for example, 1468111 + ... + 1468139.
Almost surely, 242575625 is an apocalyptic number.
42575625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
42575625 is the 6525-th square number.
42575625 is the 3263-rd centered octagonal number.
It is an amenable number.
42575625 is a deficient number, since it is larger than the sum of its proper divisors (39734746).
42575625 is an frugal number, since it uses more digits than its factorization.
42575625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 37 counting only the distinct ones).
The product of its digits is 84000, while the sum is 36.
The cubic root of 42575625 is about 349.1834707165.
Multiplying 42575625 by its sum of digits (36), we get a square (1532722500 = 391502).
The spelling of 42575625 in words is "forty-two million, five hundred seventy-five thousand, six hundred twenty-five".
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