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5832045 = 3252941109
BaseRepresentation
bin10110001111110101101101
3101222022001200
4112033311231
52443111140
6325000113
7100400022
oct26176555
911868050
105832045
11332377a
121b53039
13129271b
14abb549
157a3030
hex58fd6d

5832045 has 48 divisors (see below), whose sum is σ = 10810800. Its totient is φ = 2903040.

The previous prime is 5832019. The next prime is 5832049. The reversal of 5832045 is 5402385.

It can be written as a sum of positive squares in 8 ways, for example, as 328329 + 5503716 = 573^2 + 2346^2 .

It is not a de Polignac number, because 5832045 - 26 = 5831981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5832049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53451 + ... + 53559.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 25832045 is an apocalyptic number.

It is an amenable number.

5832045 is a deficient number, since it is larger than the sum of its proper divisors (4978755).

5832045 is a wasteful number, since it uses less digits than its factorization.

5832045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5832045 is about 2414.9627326317. The cubic root of 5832045 is about 180.0004629618. Note that the first 3 decimals are identical.

It can be divided in two parts, 58320 and 45, that multiplied together give a square (2624400 = 16202).

The spelling of 5832045 in words is "five million, eight hundred thirty-two thousand, forty-five".

Divisors: 1 3 5 9 15 29 41 45 87 109 123 145 205 261 327 369 435 545 615 981 1189 1305 1635 1845 3161 3567 4469 4905 5945 9483 10701 13407 15805 17835 22345 28449 40221 47415 53505 67035 129601 142245 201105 388803 648005 1166409 1944015 5832045