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5828500 = 225311657
BaseRepresentation
bin10110001110111110010100
3101222010012101
4112032332110
52443003000
6324531444
7100353466
oct26167624
911863171
105828500
113321047
121b50b84
131290c22
14aba136
157a1e6a
hex58ef94

5828500 has 24 divisors (see below), whose sum is σ = 12730536. Its totient is φ = 2331200.

The previous prime is 5828491. The next prime is 5828513. The reversal of 5828500 is 58285.

It can be written as a sum of positive squares in 4 ways, for example, as 49284 + 5779216 = 222^2 + 2404^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5329 + ... + 6328.

It is an arithmetic number, because the mean of its divisors is an integer number (530439).

Almost surely, 25828500 is an apocalyptic number.

5828500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5828500 is an abundant number, since it is smaller than the sum of its proper divisors (6902036).

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

5828500 is a wasteful number, since it uses less digits than its factorization.

5828500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 5828500 is about 2414.2286552852. The cubic root of 5828500 is about 179.9639845639.

Multiplying 5828500 by its reverse (58285), we get a square (339714122500 = 5828502).

5828500 divided by its reverse (58285) gives a square (100 = 102).

It can be divided in two parts, 5828 and 500, that added together give a triangular number (6328 = T112).

The spelling of 5828500 in words is "five million, eight hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 11657 23314 46628 58285 116570 233140 291425 582850 1165700 1457125 2914250 5828500