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5382 = 2321323
BaseRepresentation
bin1010100000110
321101100
41110012
5133012
640530
721456
oct12406
97340
105382
114053
123146
1325b0
141d66
1518dc
hex1506

5382 has 24 divisors (see below), whose sum is σ = 13104. Its totient is φ = 1584.

The previous prime is 5381. The next prime is 5387. The reversal of 5382 is 2835.

5382 = 142 + 152 + ... + 262.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5382.

It is not an unprimeable number, because it can be changed into a prime (5381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

25382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552).

5382 is an abundant number, since it is smaller than the sum of its proper divisors (7722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5382 is a wasteful number, since it uses less digits than its factorization.

5382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 41 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 5382 is about 73.3621155638. The cubic root of 5382 is about 17.5245912781.

The spelling of 5382 in words is "five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 5382