Search a number
-
+
5279264 = 25192457
BaseRepresentation
bin10100001000111000100000
3100221012210022
4110020320200
52322414024
6305053012
762605304
oct24107040
910835708
105279264
112a86431
121927168
13112ac33
149b5d04
156e435e
hex508e20

5279264 has 36 divisors (see below), whose sum is σ = 10993374. Its totient is φ = 2495232.

The previous prime is 5279257. The next prime is 5279279. The reversal of 5279264 is 4629725.

It can be written as a sum of positive squares in only one way, i.e., 3610000 + 1669264 = 1900^2 + 1292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11324 + ... + 11780.

Almost surely, 25279264 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 5279264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496687).

5279264 is an abundant number, since it is smaller than the sum of its proper divisors (5714110).

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

5279264 is a wasteful number, since it uses less digits than its factorization.

5279264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 478 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 5279264 is about 2297.6649015903. The cubic root of 5279264 is about 174.1236624771.

The spelling of 5279264 in words is "five million, two hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 457 608 722 914 1444 1828 2888 3656 5776 7312 8683 11552 14624 17366 34732 69464 138928 164977 277856 329954 659908 1319816 2639632 5279264