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5282000 = 245319139
BaseRepresentation
bin10100001001100011010000
3100221100112122
4110021203100
52323011000
6305113412
762616263
oct24114320
910840478
105282000
112a88499
121928868
13112c259
149b6cda
156e5085
hex5098d0

5282000 has 80 divisors (see below), whose sum is σ = 13540800. Its totient is φ = 1987200.

The previous prime is 5281999. The next prime is 5282023. The reversal of 5282000 is 2825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5282000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37931 + ... + 38069.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 25282000 is an apocalyptic number.

5282000 is a gapful number since it is divisible by the number (50) 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 5282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770400).

5282000 is an abundant number, since it is smaller than the sum of its proper divisors (8258800).

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

5282000 is a wasteful number, since it uses less digits than its factorization.

5282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5282000 is about 2298.2602115513. The cubic root of 5282000 is about 174.1537373806.

Adding to 5282000 its reverse (2825), we get a palindrome (5284825).

The spelling of 5282000 in words is "five million, two hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 139 152 190 200 250 278 304 380 400 475 500 556 695 760 950 1000 1112 1390 1520 1900 2000 2224 2375 2641 2780 3475 3800 4750 5282 5560 6950 7600 9500 10564 11120 13205 13900 17375 19000 21128 26410 27800 34750 38000 42256 52820 55600 66025 69500 105640 132050 139000 211280 264100 278000 330125 528200 660250 1056400 1320500 2641000 5282000