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28456020 = 223251491061
BaseRepresentation
bin110110010001…
…1010001010100
31222112201022200
41230203101110
524241043040
62453524500
7463605105
oct154432124
958481280
1028456020
111507647a
129643730
135b842a8
143aca3ac
152771630
hex1b23454

28456020 has 72 divisors (see below), whose sum is σ = 86977800. Its totient is φ = 7530240.

The previous prime is 28456007. The next prime is 28456063. The reversal of 28456020 is 2065482.

28456020 is a `hidden beast` number, since 2 + 84 + 560 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 956484 + 27499536 = 978^2 + 5244^2 .

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 23 ways as a sum of consecutive naturals, for example, 26290 + ... + 27350.

It is an arithmetic number, because the mean of its divisors is an integer number (1208025).

Almost surely, 228456020 is an apocalyptic number.

28456020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28456020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43488900).

28456020 is an abundant number, since it is smaller than the sum of its proper divisors (58521780).

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

28456020 is a wasteful number, since it uses less digits than its factorization.

28456020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28456020 is about 5334.4184312819. The cubic root of 28456020 is about 305.2985341796.

The spelling of 28456020 in words is "twenty-eight million, four hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1061 1341 1490 1788 2122 2235 2682 2980 3183 4244 4470 5305 5364 6366 6705 8940 9549 10610 12732 13410 15915 19098 21220 26820 31830 38196 47745 63660 95490 158089 190980 316178 474267 632356 790445 948534 1422801 1580890 1897068 2371335 2845602 3161780 4742670 5691204 7114005 9485340 14228010 28456020