Search a number
-
+
5842200 = 23352713107
BaseRepresentation
bin10110010010010100011000
3101222210222210
4112102110120
52443422300
6325115120
7100441440
oct26222430
911883883
105842200
113330371
121b58aa0
131297230
14ac1120
157a6050
hex592518

5842200 has 192 divisors, whose sum is σ = 22498560. Its totient is φ = 1221120.

The previous prime is 5842183. The next prime is 5842201. The reversal of 5842200 is 22485.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5842201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54547 + ... + 54653.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 25842200 is an apocalyptic number.

5842200 is a gapful number since it is divisible by the number (50) 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 5842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

5842200 is an abundant number, since it is smaller than the sum of its proper divisors (16656360).

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

5842200 is a wasteful number, since it uses less digits than its factorization.

5842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5842200 is about 2417.0643350974. The cubic root of 5842200 is about 180.1048771530.

Adding to 5842200 its reverse (22485), we get a palindrome (5864685).

The spelling of 5842200 in words is "five million, eight hundred forty-two thousand, two hundred".