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5827104 = 253220233
BaseRepresentation
bin10110001110101000100000
3101222001021200
4112032220200
52442431404
6324521200
7100346433
oct26165040
911861250
105827104
11331aa98
121b50200
1312903ba
14ab981a
157a1839
hex58ea20

5827104 has 36 divisors (see below), whose sum is σ = 16571646. Its totient is φ = 1942272.

The previous prime is 5827103. The next prime is 5827109. The reversal of 5827104 is 4017285.

It can be written as a sum of positive squares in only one way, i.e., 4928400 + 898704 = 2220^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (5827103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9829 + ... + 10404.

Almost surely, 25827104 is an apocalyptic number.

It is an amenable number.

5827104 is an abundant number, since it is smaller than the sum of its proper divisors (10744542).

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

5827104 is a wasteful number, since it uses less digits than its factorization.

5827104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20249 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5827104 is about 2413.9395187121. The cubic root of 5827104 is about 179.9496155276.

The spelling of 5827104 in words is "five million, eight hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20233 40466 60699 80932 121398 161864 182097 242796 323728 364194 485592 647456 728388 971184 1456776 1942368 2913552 5827104