Search a number
-
+
5253300 = 22325213449
BaseRepresentation
bin10100000010100010110100
3100212220011200
4110002202310
52321101200
6304332500
762436513
oct24024264
910786150
105253300
112a68978
121914130
13111c180
149aa67a
156db800
hex5028b4

5253300 has 108 divisors (see below), whose sum is σ = 17772300. Its totient is φ = 1290240.

The previous prime is 5253277. The next prime is 5253317. The reversal of 5253300 is 33525.

It can be written as a sum of positive squares in 6 ways, for example, as 404496 + 4848804 = 636^2 + 2202^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11476 + ... + 11924.

Almost surely, 25253300 is an apocalyptic number.

5253300 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 5253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886150).

5253300 is an abundant number, since it is smaller than the sum of its proper divisors (12519000).

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

5253300 is a wasteful number, since it uses less digits than its factorization.

5253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

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

The square root of 5253300 is about 2292.0078533897. The cubic root of 5253300 is about 173.8377401343.

Adding to 5253300 its reverse (33525), we get a palindrome (5286825).

The spelling of 5253300 in words is "five million, two hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 449 450 468 585 650 780 898 900 975 1170 1300 1347 1796 1950 2245 2340 2694 2925 3900 4041 4490 5388 5837 5850 6735 8082 8980 11225 11674 11700 13470 16164 17511 20205 22450 23348 26940 29185 33675 35022 40410 44900 52533 58370 67350 70044 80820 87555 101025 105066 116740 134700 145925 175110 202050 210132 262665 291850 350220 404100 437775 525330 583700 875550 1050660 1313325 1751100 2626650 5253300