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5985728 = 26731431
BaseRepresentation
bin10110110101010111000000
3102021002212122
4112311113000
53013020403
6332143412
7101610050
oct26652700
912232778
105985728
113419191
122007b68
131317668
14b1b560
157d3838
hex5b55c0

5985728 has 56 divisors (see below), whose sum is σ = 14045184. Its totient is φ = 2476800.

The previous prime is 5985719. The next prime is 5985739. The reversal of 5985728 is 8275895.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13673 + ... + 14103.

Almost surely, 25985728 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 5985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022592).

5985728 is an abundant number, since it is smaller than the sum of its proper divisors (8059456).

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

5985728 is a wasteful number, since it uses less digits than its factorization.

5985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its digits is 201600, while the sum is 44.

The square root of 5985728 is about 2446.5747485004. The cubic root of 5985728 is about 181.5678674218.

The spelling of 5985728 in words is "five million, nine hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 431 434 448 496 862 868 992 1724 1736 1984 3017 3448 3472 6034 6896 6944 12068 13361 13792 13888 24136 26722 27584 48272 53444 93527 96544 106888 187054 193088 213776 374108 427552 748216 855104 1496432 2992864 5985728