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5787328 = 26312917
BaseRepresentation
bin10110000100111011000000
3101220000201111
4112010323000
52440143303
6324013104
7100122451
oct26047300
911800644
105787328
1132a3118
121b31194
131278271
14aa9128
15794b6d
hex584ec0

5787328 has 28 divisors (see below), whose sum is σ = 11858752. Its totient is φ = 2799360.

The previous prime is 5787319. The next prime is 5787347. The reversal of 5787328 is 8237875.

It is a d-powerful number, because it can be written as 55 + 75 + 8 + 78 + 33 + 211 + 83 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 526 + ... + 3442.

Almost surely, 25787328 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 5787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929376).

5787328 is an abundant number, since it is smaller than the sum of its proper divisors (6071424).

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

5787328 is a wasteful number, since it uses less digits than its factorization.

5787328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2950 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 5787328 is about 2405.6865963795. The cubic root of 5787328 is about 179.5392330503.

The spelling of 5787328 in words is "five million, seven hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 2917 5834 11668 23336 46672 90427 93344 180854 186688 361708 723416 1446832 2893664 5787328