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5828020 = 2251159449
BaseRepresentation
bin10110001110110110110100
3101222002112121
4112032312310
52442444040
6324525324
7100352212
oct26166664
911862477
105828020
113320750
121b50844
131290943
14ab9cb2
157a1c4a
hex58edb4

5828020 has 48 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 2078720.

The previous prime is 5827999. The next prime is 5828023. The reversal of 5828020 is 208285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12756 + ... + 13204.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 25828020 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 5828020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

5828020 is an abundant number, since it is smaller than the sum of its proper divisors (7779980).

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

5828020 is a wasteful number, since it uses less digits than its factorization.

5828020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 5828020 is about 2414.1292426049. The cubic root of 5828020 is about 179.9590441799.

The spelling of 5828020 in words is "five million, eight hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 449 590 649 898 1180 1298 1796 2245 2596 3245 4490 4939 6490 8980 9878 12980 19756 24695 26491 49390 52982 98780 105964 132455 264910 291401 529820 582802 1165604 1457005 2914010 5828020