Search a number
-
+
5253192 = 2332721489
BaseRepresentation
bin10100000010100001001000
3100212220000200
4110002201020
52321100232
6304332200
762436300
oct24024110
910786020
105253192
112a6888a
121914060
13111c0c9
149aa600
156db77c
hex502848

5253192 has 72 divisors (see below), whose sum is σ = 16561350. Its totient is φ = 1499904.

The previous prime is 5253173. The next prime is 5253203. The reversal of 5253192 is 2913525.

It can be written as a sum of positive squares in only one way, i.e., 4955076 + 298116 = 2226^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2784 + ... + 4272.

Almost surely, 25253192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5253192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280675).

5253192 is an abundant number, since it is smaller than the sum of its proper divisors (11308158).

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

5253192 is a wasteful number, since it uses less digits than its factorization.

5253192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1501 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5253192 is about 2291.9842931399. The cubic root of 5253192 is about 173.8365488447.

It can be divided in two parts, 5253 and 192, that added together give a palindrome (5445).

The spelling of 5253192 in words is "five million, two hundred fifty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1489 1764 2978 3528 4467 5956 8934 10423 11912 13401 17868 20846 26802 31269 35736 41692 53604 62538 72961 83384 93807 107208 125076 145922 187614 218883 250152 291844 375228 437766 583688 656649 750456 875532 1313298 1751064 2626596 5253192