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5688128 = 26314761
BaseRepresentation
bin10101101100101101000000
3101200222122102
4111230231000
52424010003
6321525532
766230315
oct25545500
911628572
105688128
113235636
121aa38a8
131242074
14a80d0c
15775588
hex56cb40

5688128 has 56 divisors (see below), whose sum is σ = 12094464. Its totient is φ = 2649600.

The previous prime is 5688127. The next prime is 5688139. The reversal of 5688128 is 8218865.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 5688091 and 5688100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5688127) 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, 93218 + ... + 93278.

Almost surely, 25688128 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 5688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047232).

5688128 is an abundant number, since it is smaller than the sum of its proper divisors (6406336).

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

5688128 is a wasteful number, since it uses less digits than its factorization.

5688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 30720, while the sum is 38.

The square root of 5688128 is about 2384.9796644835. The cubic root of 5688128 is about 178.5074941864.

The spelling of 5688128 in words is "five million, six hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 47 61 62 64 94 122 124 188 244 248 376 488 496 752 976 992 1457 1504 1891 1952 1984 2867 2914 3008 3782 3904 5734 5828 7564 11468 11656 15128 22936 23312 30256 45872 46624 60512 88877 91744 93248 121024 177754 183488 355508 711016 1422032 2844064 5688128