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5335875 = 34531731
BaseRepresentation
bin10100010110101101000011
3101001002110000
4110112231003
52331222000
6310211043
763232326
oct24265503
911032400
105335875
113014a16
121953a83
13114a92c
149cc7bd
15706000
hex516b43

5335875 has 80 divisors (see below), whose sum is σ = 10872576. Its totient is φ = 2592000.

The previous prime is 5335849. The next prime is 5335879. The reversal of 5335875 is 5785335.

5335875 is a `hidden beast` number, since 533 + 58 + 75 = 666.

It is not a de Polignac number, because 5335875 - 25 = 5335843 is a prime.

Its product of digits (63000) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5335879) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 172110 + ... + 172140.

Almost surely, 25335875 is an apocalyptic number.

5335875 is an abundant number, since it is smaller than the sum of its proper divisors (5536701).

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

5335875 is a wasteful number, since it uses less digits than its factorization.

5335875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 5335875 is about 2309.9512981879. The cubic root of 5335875 is about 174.7438429189.

The spelling of 5335875 in words is "five million, three hundred thirty-five thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 31 45 51 75 81 85 93 125 135 153 155 225 255 279 375 405 425 459 465 527 675 765 775 837 1125 1275 1377 1395 1581 2025 2125 2295 2325 2511 2635 3375 3825 3875 4185 4743 6375 6885 6975 7905 10125 11475 11625 12555 13175 14229 19125 20925 23715 34425 34875 39525 42687 57375 62775 65875 71145 104625 118575 172125 197625 213435 313875 355725 592875 1067175 1778625 5335875