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5282928 = 243371747
BaseRepresentation
bin10100001001110001110000
3100221101211000
4110021301300
52323023203
6305122000
762622060
oct24116160
910841730
105282928
112a89162
121929300
13112c7c1
149b73a0
156e54a3
hex509c70

5282928 has 80 divisors (see below), whose sum is σ = 17340160. Its totient is φ = 1508544.

The previous prime is 5282923. The next prime is 5282929. The reversal of 5282928 is 8292825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 53 + 2 + 85 + 218 + 96 + 222 + 86 .

It is a junction number, because it is equal to n+sod(n) for n = 5282892 and 5282901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5282923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2151 + ... + 3897.

It is an arithmetic number, because the mean of its divisors is an integer number (216752).

Almost surely, 25282928 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 5282928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670080).

5282928 is an abundant number, since it is smaller than the sum of its proper divisors (12057232).

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

5282928 is a wasteful number, since it uses less digits than its factorization.

5282928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1759 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 5282928 is about 2298.4620945319. The cubic root of 5282928 is about 174.1639358663.

The spelling of 5282928 in words is "five million, two hundred eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1747 3024 3494 5241 6988 10482 12229 13976 15723 20964 24458 27952 31446 36687 41928 47169 48916 62892 73374 83856 94338 97832 110061 125784 146748 188676 195664 220122 251568 293496 330183 377352 440244 586992 660366 754704 880488 1320732 1760976 2641464 5282928