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5277168 = 2432132819
BaseRepresentation
bin10100001000010111110000
3100221002220200
4110020113300
52322332133
6305035200
762566221
oct24102760
910832820
105277168
112a848a6
121925b00
131129cb0
149b5248
156e3913
hex5085f0

5277168 has 60 divisors (see below), whose sum is σ = 15910440. Its totient is φ = 1623168.

The previous prime is 5277163. The next prime is 5277169. The reversal of 5277168 is 8617725.

5277168 is a `hidden beast` number, since 527 + 71 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5277163) 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, 463 + ... + 3281.

It is an arithmetic number, because the mean of its divisors is an integer number (265174).

Almost surely, 25277168 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 5277168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955220).

5277168 is an abundant number, since it is smaller than the sum of its proper divisors (10633272).

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

5277168 is a wasteful number, since it uses less digits than its factorization.

5277168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2837 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 5277168 is about 2297.2087410595. The cubic root of 5277168 is about 174.1006156088.

It can be divided in two parts, 5277 and 168, that added together give a palindrome (5445).

The spelling of 5277168 in words is "five million, two hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2819 5638 8457 11276 16914 22552 25371 33828 36647 45104 50742 67656 73294 101484 109941 135312 146588 202968 219882 293176 329823 405936 439764 586352 659646 879528 1319292 1759056 2638584 5277168