Search a number
-
+
5267768 = 2311311931
BaseRepresentation
bin10100000110000100111000
3100220122000112
4110012010320
52322032033
6304523452
762526632
oct24060470
910818015
105267768
112a78830
121920588
13112592c
149b1a52
156e0c48
hex506138

5267768 has 32 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 2316000.

The previous prime is 5267767. The next prime is 5267771. The reversal of 5267768 is 8677625.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5267767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1763 + ... + 3693.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

Almost surely, 25267768 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 5267768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564160).

5267768 is an abundant number, since it is smaller than the sum of its proper divisors (5860552).

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

5267768 is a wasteful number, since it uses less digits than its factorization.

5267768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1975 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 5267768 is about 2295.1618679300. The cubic root of 5267768 is about 173.9971814402.

The spelling of 5267768 in words is "five million, two hundred sixty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 1931 2728 3862 7724 15448 21241 42482 59861 84964 119722 169928 239444 478888 658471 1316942 2633884 5267768