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5282112 = 263114161
BaseRepresentation
bin10100001001100101000000
3100221100200210
4110021211000
52323011422
6305114120
762616513
oct24114500
910840623
105282112
112a88590
121928940
13112c314
149b6d7a
156e510c
hex509940

5282112 has 112 divisors (see below), whose sum is σ = 15873984. Its totient is φ = 1536000.

The previous prime is 5282107. The next prime is 5282119. The reversal of 5282112 is 2112825.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5282119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86562 + ... + 86622.

It is an arithmetic number, because the mean of its divisors is an integer number (141732).

Almost surely, 25282112 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 5282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936992).

5282112 is an abundant number, since it is smaller than the sum of its proper divisors (10591872).

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

5282112 is a wasteful number, since it uses less digits than its factorization.

5282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 5282112 is about 2298.2845776796. The cubic root of 5282112 is about 174.1549682957.

Adding to 5282112 its reverse (2112825), we get a palindrome (7394937).

It can be divided in two parts, 528 and 2112, that multiplied together give a square (1115136 = 10562).

The spelling of 5282112 in words is "five million, two hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 61 64 66 82 88 96 122 123 132 164 176 183 192 244 246 264 328 352 366 451 488 492 528 656 671 704 732 902 976 984 1056 1312 1342 1353 1464 1804 1952 1968 2013 2112 2501 2624 2684 2706 2928 3608 3904 3936 4026 5002 5368 5412 5856 7216 7503 7872 8052 10004 10736 10824 11712 14432 15006 16104 20008 21472 21648 27511 28864 30012 32208 40016 42944 43296 55022 60024 64416 80032 82533 86592 110044 120048 128832 160064 165066 220088 240096 330132 440176 480192 660264 880352 1320528 1760704 2641056 5282112