Search a number
-
+
5424384 = 28371009
BaseRepresentation
bin10100101100010100000000
3101012120212010
4110230110000
52342040014
6312132520
764051350
oct24542400
911176763
105424384
113075469
121997140
13117bcc4
14a12b60
15722359
hex52c500

5424384 has 72 divisors (see below), whose sum is σ = 16515520. Its totient is φ = 1548288.

The previous prime is 5424371. The next prime is 5424403. The reversal of 5424384 is 4834245.

It is a d-powerful number, because it can be written as 53 + 46 + 27 + 410 + 311 + 8 + 411 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4872 + ... + 5880.

Almost surely, 25424384 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 5424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257760).

5424384 is an abundant number, since it is smaller than the sum of its proper divisors (11091136).

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

5424384 is a wasteful number, since it uses less digits than its factorization.

5424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1021 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 5424384 is about 2329.0306996689. The cubic root of 5424384 is about 175.7047391016.

The spelling of 5424384 in words is "five million, four hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1009 1344 1792 2018 2688 3027 4036 5376 6054 7063 8072 12108 14126 16144 21189 24216 28252 32288 42378 48432 56504 64576 84756 96864 113008 129152 169512 193728 226016 258304 339024 387456 452032 678048 774912 904064 1356096 1808128 2712192 5424384