Base | Representation |
---|---|
bin | 1001110000010… |
… | …11100000000000 |
3 | 12200222200221011 |
4 | 10320023200000 |
5 | 131422223112 |
6 | 12042010304 |
7 | 2012411005 |
oct | 470134000 |
9 | 180880834 |
10 | 81836032 |
11 | 42215693 |
12 | 234a6994 |
13 | 13c53cb5 |
14 | ac238ac |
15 | 72b7aa7 |
hex | 4e0b800 |
81836032 has 48 divisors (see below), whose sum is σ = 169041600. Its totient is φ = 39567360.
The previous prime is 81836017. The next prime is 81836039. The reversal of 81836032 is 23063818.
It is a super-2 number, since 2×818360322 = 13394272267010048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (31).
It is a junction number, because it is equal to n+sod(n) for n = 81835985 and 81836003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (81836039) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62844 + ... + 64132.
It is an arithmetic number, because the mean of its divisors is an integer number (3521700).
Almost surely, 281836032 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 81836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84520800).
81836032 is an abundant number, since it is smaller than the sum of its proper divisors (87205568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81836032 is a wasteful number, since it uses less digits than its factorization.
81836032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1342 (or 1322 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 31.
The square root of 81836032 is about 9046.3269894472. The cubic root of 81836032 is about 434.1583797640.
The spelling of 81836032 in words is "eighty-one million, eight hundred thirty-six thousand, thirty-two".
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