Search a number
-
+
4868028 = 22321119647
BaseRepresentation
bin10010100100011110111100
3100011022200100
4102210132330
52221234103
6252201100
756243334
oct22443674
910138610
104868028
112825470
121769190
1310159b9
1490a0c4
156625a3
hex4a47bc

4868028 has 72 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1395360.

The previous prime is 4868011. The next prime is 4868029. The reversal of 4868028 is 8208684.

4868028 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4867983 and 4868001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4868029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7201 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 24868028 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 4868028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4868028 is an abundant number, since it is smaller than the sum of its proper divisors (9284292).

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

4868028 is a wasteful number, since it uses less digits than its factorization.

4868028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4868028 is about 2206.3608045830. The cubic root of 4868028 is about 169.4797010176.

The spelling of 4868028 in words is "four million, eight hundred sixty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 647 684 836 1254 1294 1881 1941 2508 2588 3762 3882 5823 7117 7524 7764 11646 12293 14234 21351 23292 24586 28468 36879 42702 49172 64053 73758 85404 110637 128106 135223 147516 221274 256212 270446 405669 442548 540892 811338 1217007 1622676 2434014 4868028