| Base | Representation |
|---|---|
| bin | 1111000011101101… |
| … | …0011100101100000 |
| 3 | 101102200212212101100 |
| 4 | 3300323103211200 |
| 5 | 31234233003220 |
| 6 | 1505031434400 |
| 7 | 202111046412 |
| oct | 36073234540 |
| 9 | 11380785340 |
| 10 | 4042078560 |
| 11 | 17947144a3 |
| 12 | 949825a00 |
| 13 | 4c5565380 |
| 14 | 2a4b889b2 |
| 15 | 189cd7d90 |
| hex | f0ed3960 |
4042078560 has 288 divisors, whose sum is σ = 14929282368. Its totient is φ = 989982720.
The previous prime is 4042078531. The next prime is 4042078571. The reversal of 4042078560 is 658702404.
4042078560 is a `hidden beast` number, since 4 + 0 + 4 + 20 + 78 + 560 = 666.
4042078560 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 (288).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4922950 + ... + 4923770.
It is an arithmetic number, because the mean of its divisors is an integer number (51837786).
Almost surely, 24042078560 is an apocalyptic number.
4042078560 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 4042078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464641184).
4042078560 is an abundant number, since it is smaller than the sum of its proper divisors (10887203808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4042078560 is a wasteful number, since it uses less digits than its factorization.
4042078560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1118 (or 1107 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 4042078560 is about 63577.3431341701. The cubic root of 4042078560 is about 1592.9479426363.
The spelling of 4042078560 in words is "four billion, forty-two million, seventy-eight thousand, five hundred sixty".
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