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5283564 = 22311133079
BaseRepresentation
bin10100001001111011101100
3100221102200120
4110021323230
52323033224
6305124540
762623656
oct24117354
910842616
105283564
112a89690
121929750
13112cb90
149b76d6
156e5779
hex509eec

5283564 has 48 divisors (see below), whose sum is σ = 14488320. Its totient is φ = 1477440.

The previous prime is 5283559. The next prime is 5283569. The reversal of 5283564 is 4653825.

5283564 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5283559) and next prime (5283569).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5283569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (301840).

Almost surely, 25283564 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 5283564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244160).

5283564 is an abundant number, since it is smaller than the sum of its proper divisors (9204756).

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

5283564 is a wasteful number, since it uses less digits than its factorization.

5283564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3108 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5283564 is about 2298.6004437483. The cubic root of 5283564 is about 174.1709246560.

The spelling of 5283564 in words is "five million, two hundred eighty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 3079 6158 9237 12316 18474 33869 36948 40027 67738 80054 101607 120081 135476 160108 203214 240162 406428 440297 480324 880594 1320891 1761188 2641782 5283564