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5855328 = 2536251
BaseRepresentation
bin10110010101100001100000
3102000111000000
4112111201200
52444332303
6325300000
7100524633
oct26254140
912014000
105855328
11333a216
121b64600
1312a01bb
14ac5c1a
157a9da3
hex595860

5855328 has 84 divisors (see below), whose sum is σ = 17352468. Its totient is φ = 1944000.

The previous prime is 5855309. The next prime is 5855341. The reversal of 5855328 is 8235585.

5855328 is a `hidden beast` number, since 585 + 53 + 28 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5855292 and 5855301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23203 + ... + 23453.

It is an arithmetic number, because the mean of its divisors is an integer number (206577).

Almost surely, 25855328 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 5855328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676234).

5855328 is an abundant number, since it is smaller than the sum of its proper divisors (11497140).

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

5855328 is an equidigital number, since it uses as much as digits as its factorization.

5855328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 5855328 is about 2419.7785022601. The cubic root of 5855328 is about 180.2396807092.

The spelling of 5855328 in words is "five million, eight hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 251 288 324 432 486 502 648 729 753 864 972 1004 1296 1458 1506 1944 2008 2259 2592 2916 3012 3888 4016 4518 5832 6024 6777 7776 8032 9036 11664 12048 13554 18072 20331 23328 24096 27108 36144 40662 54216 60993 72288 81324 108432 121986 162648 182979 216864 243972 325296 365958 487944 650592 731916 975888 1463832 1951776 2927664 5855328