Search a number
-
+
5855184 = 243273557
BaseRepresentation
bin10110010101011111010000
3102000110210200
4112111133100
52444331214
6325255200
7100524336
oct26253720
912013720
105855184
11333a0a5
121b64500
1312a010a
14ac5b56
157a9d09
hex5957d0

5855184 has 60 divisors (see below), whose sum is σ = 16640676. Its totient is φ = 1921536.

The previous prime is 5855183. The next prime is 5855189. The reversal of 5855184 is 4815585.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 4112784 = 1320^2 + 2028^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5855183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10234 + ... + 10790.

Almost surely, 25855184 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 5855184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320338).

5855184 is an abundant number, since it is smaller than the sum of its proper divisors (10785492).

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

5855184 is a wasteful number, since it uses less digits than its factorization.

5855184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 635 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 5855184 is about 2419.7487472876. The cubic root of 5855184 is about 180.2382031531.

The spelling of 5855184 in words is "five million, eight hundred fifty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 557 584 657 876 1114 1168 1314 1671 1752 2228 2628 3342 3504 4456 5013 5256 6684 8912 10026 10512 13368 20052 26736 40104 40661 80208 81322 121983 162644 243966 325288 365949 487932 650576 731898 975864 1463796 1951728 2927592 5855184