| Base | Representation |
|---|---|
| bin | 110000101000001… |
| … | …110110101010000 |
| 3 | 2002212011121202100 |
| 4 | 300220032311100 |
| 5 | 3132324243010 |
| 6 | 212542320400 |
| 7 | 26134430553 |
| oct | 6050166520 |
| 9 | 2085147670 |
| 10 | 815852880 |
| 11 | 389589387 |
| 12 | 1a9289100 |
| 13 | 1000437ab |
| 14 | 7a4d469a |
| 15 | 4b9592c0 |
| hex | 30a0ed50 |
815852880 has 120 divisors (see below), whose sum is σ = 2745348840. Its totient is φ = 217128960.
The previous prime is 815852861. The next prime is 815852887. The reversal of 815852880 is 88258518.
It can be written as a sum of positive squares in 4 ways, for example, as 31404816 + 784448064 = 5604^2 + 28008^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-3 number, since 3×8158528803 (a number of 28 digits) contains 333 as substring.
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 (815852887) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547176 + ... + 548664.
It is an arithmetic number, because the mean of its divisors is an integer number (22877907).
Almost surely, 2815852880 is an apocalyptic number.
815852880 is a gapful number since it is divisible by the number (80) 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 815852880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372674420).
815852880 is an abundant number, since it is smaller than the sum of its proper divisors (1929495960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
815852880 is a wasteful number, since it uses less digits than its factorization.
815852880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2269 (or 2260 counting only the distinct ones).
The product of its (nonzero) digits is 204800, while the sum is 45.
The square root of 815852880 is about 28563.1384830169. The cubic root of 815852880 is about 934.4095827366.
The spelling of 815852880 in words is "eight hundred fifteen million, eight hundred fifty-two thousand, eight hundred eighty".
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