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5288672 = 252941139
BaseRepresentation
bin10100001011001011100000
3100221200200202
4110023023200
52323214142
6305204332
762644604
oct24131340
910850622
105288672
112a92504
1219306a8
1311322bc
149b9504
156e7032
hex50b2e0

5288672 has 48 divisors (see below), whose sum is σ = 11113200. Its totient is φ = 2472960.

The previous prime is 5288659. The next prime is 5288681. The reversal of 5288672 is 2768825.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37979 + ... + 38117.

It is an arithmetic number, because the mean of its divisors is an integer number (231525).

Almost surely, 25288672 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 5288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556600).

5288672 is an abundant number, since it is smaller than the sum of its proper divisors (5824528).

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

5288672 is a wasteful number, since it uses less digits than its factorization.

5288672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 5288672 is about 2299.7112862270. The cubic root of 5288672 is about 174.2270344167.

The spelling of 5288672 in words is "five million, two hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 139 164 232 278 328 464 556 656 928 1112 1189 1312 2224 2378 4031 4448 4756 5699 8062 9512 11398 16124 19024 22796 32248 38048 45592 64496 91184 128992 165271 182368 330542 661084 1322168 2644336 5288672