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5287688 = 23734147
BaseRepresentation
bin10100001010111100001000
3100221122100022
4110022330020
52323201223
6305200012
762642000
oct24127410
910848308
105287688
112a9179a
121930008
131131a13
149b9000
156e6ac8
hex50af08

5287688 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 2163840.

The previous prime is 5287687. The next prime is 5287691. The reversal of 5287688 is 8867825.

It is not an unprimeable number, because it can be changed into a prime (5287687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112481 + ... + 112527.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 25287688 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 5287688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

5287688 is an abundant number, since it is smaller than the sum of its proper divisors (6808312).

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

5287688 is a wasteful number, since it uses less digits than its factorization.

5287688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its digits is 215040, while the sum is 44.

The square root of 5287688 is about 2299.4973363759. The cubic root of 5287688 is about 174.2162282991.

The spelling of 5287688 in words is "five million, two hundred eighty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 41 47 49 56 82 94 98 164 188 196 287 328 329 343 376 392 574 658 686 1148 1316 1372 1927 2009 2296 2303 2632 2744 3854 4018 4606 7708 8036 9212 13489 14063 15416 16072 16121 18424 26978 28126 32242 53956 56252 64484 94423 107912 112504 128968 188846 377692 660961 755384 1321922 2643844 5287688