Search a number
-
+
5253800 = 2352109241
BaseRepresentation
bin10100000010101010101000
3100212220212012
4110002222220
52321110200
6304335052
762441126
oct24025250
910786765
105253800
112a69292
121914488
13111c476
149aa916
156dba35
hex502aa8

5253800 has 48 divisors (see below), whose sum is σ = 12378300. Its totient is φ = 2073600.

The previous prime is 5253791. The next prime is 5253803. The reversal of 5253800 is 83525.

It can be written as a sum of positive squares in 6 ways, for example, as 3104644 + 2149156 = 1762^2 + 1466^2 .

It is not an unprimeable number, because it can be changed into a prime (5253803) 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, 21680 + ... + 21920.

Almost surely, 25253800 is an apocalyptic number.

5253800 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 5253800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189150).

5253800 is an abundant number, since it is smaller than the sum of its proper divisors (7124500).

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

5253800 is a wasteful number, since it uses less digits than its factorization.

5253800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5253800 is about 2292.1169254643. The cubic root of 5253800 is about 173.8432551511.

The spelling of 5253800 in words is "five million, two hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 241 436 482 545 872 964 1090 1205 1928 2180 2410 2725 4360 4820 5450 6025 9640 10900 12050 21800 24100 26269 48200 52538 105076 131345 210152 262690 525380 656725 1050760 1313450 2626900 5253800