| Base | Representation |
|---|---|
| bin | 1001101100010… |
| … | …11111101100000 |
| 3 | 12200000011100000 |
| 4 | 10312023331200 |
| 5 | 131304014012 |
| 6 | 12022500000 |
| 7 | 2005103661 |
| oct | 466137540 |
| 9 | 180004300 |
| 10 | 81313632 |
| 11 | 41999154 |
| 12 | 23294600 |
| 13 | 13b0029a |
| 14 | ab29368 |
| 15 | 7212ddc |
| hex | 4d8bf60 |
81313632 has 72 divisors (see below), whose sum is σ = 239822856. Its totient is φ = 27101952.
The previous prime is 81313613. The next prime is 81313637. The reversal of 81313632 is 23631318.
It is a happy number.
81313632 is a `hidden beast` number, since 8 + 13 + 13 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×813136322 = 13223813498062848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 81313596 and 81313605.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (81313637) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2548 + ... + 13004.
It is an arithmetic number, because the mean of its divisors is an integer number (3330873).
Almost surely, 281313632 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 81313632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119911428).
81313632 is an abundant number, since it is smaller than the sum of its proper divisors (158509224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81313632 is a wasteful number, since it uses less digits than its factorization.
81313632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10482 (or 10462 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
The square root of 81313632 is about 9017.4071661426. The cubic root of 81313632 is about 433.2325909136.
The spelling of 81313632 in words is "eighty-one million, three hundred thirteen thousand, six hundred thirty-two".
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