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5283135 = 3251113821
BaseRepresentation
bin10100001001110100111111
3100221102002200
4110021310333
52323030020
6305122543
762622504
oct24116477
910842080
105283135
112a89330
121929453
13112c920
149b74ab
156e5590
hex509d3f

5283135 has 48 divisors (see below), whose sum is σ = 10771488. Its totient is φ = 2361600.

The previous prime is 5283101. The next prime is 5283139. The reversal of 5283135 is 5313825.

5283135 is a `hidden beast` number, since 528 + 3 + 135 = 666.

It is not a de Polignac number, because 5283135 - 26 = 5283071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5283099 and 5283108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5283139) 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 47 ways as a sum of consecutive naturals, for example, 6025 + ... + 6845.

It is an arithmetic number, because the mean of its divisors is an integer number (224406).

Almost surely, 25283135 is an apocalyptic number.

5283135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5283135 is an abundant number, since it is smaller than the sum of its proper divisors (5488353).

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

5283135 is a wasteful number, since it uses less digits than its factorization.

5283135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 853 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5283135 is about 2298.5071242004. The cubic root of 5283135 is about 174.1662105811.

It can be divided in two parts, 528 and 3135, that added together give a palindrome (3663).

The spelling of 5283135 in words is "five million, two hundred eighty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 821 1287 2145 2463 4105 6435 7389 9031 10673 12315 27093 32019 36945 45155 53365 81279 96057 117403 135465 160095 352209 406395 480285 587015 1056627 1761045 5283135