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5239728 = 243413311
BaseRepresentation
bin10011111111001110110000
3100212012120000
4103333032300
52320132403
6304150000
762352114
oct23771660
910765500
105239728
112a5975a
121908300
131115c40
149a5744
156d77a3
hex4ff3b0

5239728 has 100 divisors (see below), whose sum is σ = 16384368. Its totient is φ = 1607040.

The previous prime is 5239673. The next prime is 5239753. The reversal of 5239728 is 8279325.

It is a happy number.

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 58 + 22 + 35 + 97 + 73 + 216 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 5239692 and 5239701.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16693 + ... + 17003.

Almost surely, 25239728 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 5239728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192184).

5239728 is an abundant number, since it is smaller than the sum of its proper divisors (11144640).

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

5239728 is a wasteful number, since it uses less digits than its factorization.

5239728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5239728 is about 2289.0452158051. The cubic root of 5239728 is about 173.6879066634.

It can be divided in two parts, 52397 and 28, that added together give a palindrome (52425).

The spelling of 5239728 in words is "five million, two hundred thirty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 311 312 324 351 432 468 622 624 648 702 933 936 1053 1244 1296 1404 1866 1872 2106 2488 2799 2808 3732 4043 4212 4976 5598 5616 7464 8086 8397 8424 11196 12129 14928 16172 16794 16848 22392 24258 25191 32344 33588 36387 44784 48516 50382 64688 67176 72774 97032 100764 109161 134352 145548 194064 201528 218322 291096 327483 403056 436644 582192 654966 873288 1309932 1746576 2619864 5239728