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5872384 = 28729113
BaseRepresentation
bin10110011001101100000000
3102001100101201
4112121230000
53000404014
6325510544
7100625440
oct26315400
912040351
105872384
113351011
121b72454
1312a7bab
14acc120
157aee74
hex599b00

5872384 has 72 divisors (see below), whose sum is σ = 13980960. Its totient is φ = 2408448.

The previous prime is 5872379. The next prime is 5872397. The reversal of 5872384 is 4832785.

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, 51912 + ... + 52024.

It is an arithmetic number, because the mean of its divisors is an integer number (194180).

Almost surely, 25872384 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 5872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990480).

5872384 is an abundant number, since it is smaller than the sum of its proper divisors (8108576).

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

5872384 is a wasteful number, since it uses less digits than its factorization.

5872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 5872384 is about 2423.3002290265. The cubic root of 5872384 is about 180.4145179343.

The spelling of 5872384 in words is "five million, eight hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 113 116 128 203 224 226 232 256 406 448 452 464 791 812 896 904 928 1582 1624 1792 1808 1856 3164 3248 3277 3616 3712 6328 6496 6554 7232 7424 12656 12992 13108 14464 22939 25312 25984 26216 28928 45878 50624 51968 52432 91756 101248 104864 183512 202496 209728 367024 419456 734048 838912 1468096 2936192 5872384