Base | Representation |
---|---|
bin | 1001110101101… |
… | …00100001011000 |
3 | 12202021212121100 |
4 | 10322310201120 |
5 | 132111401334 |
6 | 12104511400 |
7 | 2021323263 |
oct | 472644130 |
9 | 182255540 |
10 | 82528344 |
11 | 42648848 |
12 | 2377b560 |
13 | 14137152 |
14 | ad63cda |
15 | 73a2c99 |
hex | 4eb4858 |
82528344 has 48 divisors (see below), whose sum is σ = 224710200. Its totient is φ = 27362304.
The previous prime is 82528337. The next prime is 82528349. The reversal of 82528344 is 44382528.
It is a Harshad number since it is a multiple of its sum of digits (36).
82528344 is a Rhonda number in base 10.
Its product of digits (61440) is a multiple of the sum of its prime factors (6144).
It is a junction number, because it is equal to n+sod(n) for n = 82528299 and 82528308.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (82528349) 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, 10927 + ... + 16865.
Almost surely, 282528344 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 82528344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112355100).
82528344 is an abundant number, since it is smaller than the sum of its proper divisors (142181856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82528344 is a wasteful number, since it uses less digits than its factorization.
82528344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6144 (or 6137 counting only the distinct ones).
The product of its digits is 61440, while the sum is 36.
The square root of 82528344 is about 9084.5112141491. The cubic root of 82528344 is about 435.3792332992.
The spelling of 82528344 in words is "eighty-two million, five hundred twenty-eight thousand, three hundred forty-four".
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