Search a number
-
+
6082304 = 28231033
BaseRepresentation
bin10111001100111100000000
3102110000100112
4113030330000
53024113204
6334210452
7102461444
oct27147400
912400315
106082304
1134847a8
122053a28
13134c5c7
14b44824
1580226e
hex5ccf00

6082304 has 36 divisors (see below), whose sum is σ = 12680976. Its totient is φ = 2906112.

The previous prime is 6082303. The next prime is 6082313. The reversal of 6082304 is 4032806.

It is a happy number.

6082304 is digitally balanced in base 5, 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 (23).

It is a self number, because there is not a number n which added to its sum of digits gives 6082304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6082301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5372 + ... + 6404.

Almost surely, 26082304 is an apocalyptic number.

6082304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340488).

6082304 is an abundant number, since it is smaller than the sum of its proper divisors (6598672).

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

6082304 is a wasteful number, since it uses less digits than its factorization.

6082304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 6082304 is about 2466.2327546280. The cubic root of 6082304 is about 182.5391571699.

The spelling of 6082304 in words is "six million, eighty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1033 1472 2066 2944 4132 5888 8264 16528 23759 33056 47518 66112 95036 132224 190072 264448 380144 760288 1520576 3041152 6082304