| Base | Representation |
|---|---|
| bin | 110011111011001… |
| … | …010100101100000 |
| 3 | 2020201012220020000 |
| 4 | 303323022211200 |
| 5 | 3241003212442 |
| 6 | 222235420000 |
| 7 | 30405430500 |
| oct | 6373124540 |
| 9 | 2221186200 |
| 10 | 871147872 |
| 11 | 407816321 |
| 12 | 2038b4600 |
| 13 | 10b63401a |
| 14 | 839a9a00 |
| 15 | 5172cd4c |
| hex | 33eca960 |
871147872 has 360 divisors, whose sum is σ = 3145859640. Its totient is φ = 235799424.
The previous prime is 871147829. The next prime is 871147877. The reversal of 871147872 is 278741178.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
871147872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×8711478723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (871147877) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45849879 + ... + 45849897.
It is an arithmetic number, because the mean of its divisors is an integer number (8738499).
Almost surely, 2871147872 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 871147872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572929820).
871147872 is an abundant number, since it is smaller than the sum of its proper divisors (2274711768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
871147872 is an equidigital number, since it uses as much as digits as its factorization.
871147872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 31 counting only the distinct ones).
The product of its digits is 175616, while the sum is 45.
The square root of 871147872 is about 29515.2142462155. The cubic root of 871147872 is about 955.0599350194.
The spelling of 871147872 in words is "eight hundred seventy-one million, one hundred forty-seven thousand, eight hundred seventy-two".
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