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5501200 = 245217809
BaseRepresentation
bin10100111111000100010000
3101100111020011
4110333010100
52402014300
6313524304
764521325
oct24770420
911314204
105501200
113118151
121a13694
1311a7c63
14a32b4c
15739eba
hex53f110

5501200 has 60 divisors (see below), whose sum is σ = 14011380. Its totient is φ = 2068480.

The previous prime is 5501189. The next prime is 5501201. The reversal of 5501200 is 21055.

It can be written as a sum of positive squares in 6 ways, for example, as 266256 + 5234944 = 516^2 + 2288^2 .

It is not an unprimeable number, because it can be changed into a prime (5501201) 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, 6396 + ... + 7204.

It is an arithmetic number, because the mean of its divisors is an integer number (233523).

Almost surely, 25501200 is an apocalyptic number.

5501200 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 5501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005690).

5501200 is an abundant number, since it is smaller than the sum of its proper divisors (8510180).

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

5501200 is a wasteful number, since it uses less digits than its factorization.

5501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 5501200 is about 2345.4637068179. The cubic root of 5501200 is about 176.5302534631.

Adding to 5501200 its reverse (21055), we get a palindrome (5522255).

The spelling of 5501200 in words is "five million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 809 850 1360 1618 1700 3236 3400 4045 6472 6800 8090 12944 13753 16180 20225 27506 32360 40450 55012 64720 68765 80900 110024 137530 161800 220048 275060 323600 343825 550120 687650 1100240 1375300 2750600 5501200