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5258688 = 26361449
BaseRepresentation
bin10100000011110111000000
3100220011120020
4110003313000
52321234223
6304413440
762461311
oct24036700
910804506
105258688
112a71a26
121917280
131121766
149ac608
156dd1e3
hex503dc0

5258688 has 56 divisors (see below), whose sum is σ = 14173200. Its totient is φ = 1720320.

The previous prime is 5258683. The next prime is 5258707. The reversal of 5258688 is 8868525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258683) 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, 11488 + ... + 11936.

Almost surely, 25258688 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 5258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086600).

5258688 is an abundant number, since it is smaller than the sum of its proper divisors (8914512).

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

5258688 is a wasteful number, since it uses less digits than its factorization.

5258688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 5258688 is about 2293.1829408052. The cubic root of 5258688 is about 173.8971515334.

The spelling of 5258688 in words is "five million, two hundred fifty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 449 488 732 898 976 1347 1464 1796 1952 2694 2928 3592 3904 5388 5856 7184 10776 11712 14368 21552 27389 28736 43104 54778 82167 86208 109556 164334 219112 328668 438224 657336 876448 1314672 1752896 2629344 5258688