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5533200 = 2432522953
BaseRepresentation
bin10101000110111000010000
3101102010010100
4111012320100
52404030300
6314332400
765013531
oct25067020
911363110
105533200
11313a1a2
121a2a100
1311b96aa
14a40688
15744700
hex546e10

5533200 has 180 divisors, whose sum is σ = 20238660. Its totient is φ = 1397760.

The previous prime is 5533193. The next prime is 5533207. The reversal of 5533200 is 23355.

It is an interprime number because it is at equal distance from previous prime (5533193) and next prime (5533207).

It can be written as a sum of positive squares in 6 ways, for example, as 1296 + 5531904 = 36^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5533207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104374 + ... + 104426.

It is an arithmetic number, because the mean of its divisors is an integer number (112437).

Almost surely, 25533200 is an apocalyptic number.

5533200 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 5533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119330).

5533200 is an abundant number, since it is smaller than the sum of its proper divisors (14705460).

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

5533200 is a wasteful number, since it uses less digits than its factorization.

5533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5533200 is about 2352.2754940695. The cubic root of 5533200 is about 176.8718789379.

Adding to 5533200 its reverse (23355), we get a palindrome (5556555).

The spelling of 5533200 in words is "five million, five hundred thirty-three thousand, two hundred".