| Base | Representation |
|---|---|
| bin | 100111100110110111… |
| … | …001111011000000000 |
| 3 | 11001202211211111211000 |
| 4 | 213212313033120000 |
| 5 | 1144044123234430 |
| 6 | 31312001252000 |
| 7 | 3033611402313 |
| oct | 474667173000 |
| 9 | 131684744730 |
| 10 | 42527946240 |
| 11 | 17043a0a50a |
| 12 | 82aa634000 |
| 13 | 4019a17c40 |
| 14 | 20b621497a |
| 15 | 118d8d2e60 |
| hex | 9e6dcf600 |
42527946240 has 1280 divisors, whose sum is σ = 178188595200. Its totient is φ = 9523298304.
The previous prime is 42527946211. The next prime is 42527946247. The reversal of 42527946240 is 4264972524.
42527946240 is a `hidden beast` number, since 42 + 527 + 9 + 46 + 2 + 40 = 666.
42527946240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a super-4 number, since 4×425279462404 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42527946247) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 802414054 + ... + 802414106.
It is an arithmetic number, because the mean of its divisors is an integer number (139209840).
Almost surely, 242527946240 is an apocalyptic number.
42527946240 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 42527946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89094297600).
42527946240 is an abundant number, since it is smaller than the sum of its proper divisors (135660648960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42527946240 is a wasteful number, since it uses less digits than its factorization.
42527946240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 164 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 45.
The spelling of 42527946240 in words is "forty-two billion, five hundred twenty-seven million, nine hundred forty-six thousand, two hundred forty".
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