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6428384 = 251997109
BaseRepresentation
bin11000100001011011100000
3110002121002022
4120201123200
53121202014
6345441012
7105432434
oct30413340
913077068
106428384
1136a0816
1221a0168
131440ca1
14bd49c4
1586ea8e
hex6216e0

6428384 has 48 divisors (see below), whose sum is σ = 13582800. Its totient is φ = 2985984.

The previous prime is 6428369. The next prime is 6428393. The reversal of 6428384 is 4838246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58922 + ... + 59030.

It is an arithmetic number, because the mean of its divisors is an integer number (282975).

Almost surely, 26428384 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 6428384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791400).

6428384 is an abundant number, since it is smaller than the sum of its proper divisors (7154416).

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

6428384 is a wasteful number, since it uses less digits than its factorization.

6428384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 6428384 is about 2535.4258025034. The cubic root of 6428384 is about 185.9376211990.

The spelling of 6428384 in words is "six million, four hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 76 97 109 152 194 218 304 388 436 608 776 872 1552 1744 1843 2071 3104 3488 3686 4142 7372 8284 10573 14744 16568 21146 29488 33136 42292 58976 66272 84584 169168 200887 338336 401774 803548 1607096 3214192 6428384