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4838328 = 23321141149
BaseRepresentation
bin10010011101001110111000
3100002210221100
4102131032320
52214311303
6251411400
756060625
oct22351670
910083840
104838328
112805120
121753b60
131005321
148dd34c
156588a3
hex49d3b8

4838328 has 96 divisors (see below), whose sum is σ = 14742000. Its totient is φ = 1420800.

The previous prime is 4838297. The next prime is 4838333. The reversal of 4838328 is 8238384.

It is a happy number.

4838328 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4838292 and 4838301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32398 + ... + 32546.

Almost surely, 24838328 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 4838328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371000).

4838328 is an abundant number, since it is smaller than the sum of its proper divisors (9903672).

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

4838328 is a wasteful number, since it uses less digits than its factorization.

4838328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4838328 is about 2199.6199671761. The cubic root of 4838328 is about 169.1343306013.

The spelling of 4838328 in words is "four million, eight hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 149 164 198 246 264 298 328 369 396 447 451 492 596 738 792 894 902 984 1192 1341 1353 1476 1639 1788 1804 2682 2706 2952 3278 3576 3608 4059 4917 5364 5412 6109 6556 8118 9834 10728 10824 12218 13112 14751 16236 18327 19668 24436 29502 32472 36654 39336 48872 54981 59004 67199 73308 109962 118008 134398 146616 201597 219924 268796 403194 439848 537592 604791 806388 1209582 1612776 2419164 4838328