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5278592 = 271123163
BaseRepresentation
bin10100001000101110000000
3100221011212102
4110020232000
52322403332
6305045532
762603324
oct24105600
910834772
105278592
112a85980
1219268a8
13112a837
149b5984
156e4062
hex508b80

5278592 has 64 divisors (see below), whose sum is σ = 12044160. Its totient is φ = 2280960.

The previous prime is 5278591. The next prime is 5278601. The reversal of 5278592 is 2958725.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5278591) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32303 + ... + 32465.

It is an arithmetic number, because the mean of its divisors is an integer number (188190).

Almost surely, 25278592 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 5278592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022080).

5278592 is an abundant number, since it is smaller than the sum of its proper divisors (6765568).

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

5278592 is a wasteful number, since it uses less digits than its factorization.

5278592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 5278592 is about 2297.5186615129. The cubic root of 5278592 is about 174.1162740693.

It can be divided in two parts, 527 and 8592, that added together give a palindrome (9119).

The spelling of 5278592 in words is "five million, two hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 163 176 184 253 326 352 368 506 652 704 736 1012 1304 1408 1472 1793 2024 2608 2944 3586 3749 4048 5216 7172 7498 8096 10432 14344 14996 16192 20864 28688 29992 32384 41239 57376 59984 82478 114752 119968 164956 229504 239936 329912 479872 659824 1319648 2639296 5278592