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5275296 = 2532131409
BaseRepresentation
bin10100000111111010100000
3100221000100100
4110013322200
52322302141
6305022400
762560605
oct24077240
910830310
105275296
112a83454
121924a00
1311291a0
149b46ac
156e30b6
hex507ea0

5275296 has 72 divisors (see below), whose sum is σ = 16167060. Its totient is φ = 1622016.

The previous prime is 5275279. The next prime is 5275307. The reversal of 5275296 is 6925725.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 1354896 = 1980^2 + 1164^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5275296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3040 + ... + 4448.

Almost surely, 25275296 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 5275296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083530).

5275296 is an abundant number, since it is smaller than the sum of its proper divisors (10891764).

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

5275296 is a wasteful number, since it uses less digits than its factorization.

5275296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1427 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5275296 is about 2296.8012539182. The cubic root of 5275296 is about 174.0800266048.

The spelling of 5275296 in words is "five million, two hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1409 1872 2818 3744 4227 5636 8454 11272 12681 16908 18317 22544 25362 33816 36634 45088 50724 54951 67632 73268 101448 109902 135264 146536 164853 202896 219804 293072 329706 405792 439608 586144 659412 879216 1318824 1758432 2637648 5275296