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5283300 = 22352111601
BaseRepresentation
bin10100001001110111100100
3100221102022210
4110021313210
52323031200
6305123420
762623131
oct24116744
910842283
105283300
112a89470
121929570
13112ca19
149b7588
156e5650
hex509de4

5283300 has 72 divisors (see below), whose sum is σ = 16686432. Its totient is φ = 1280000.

The previous prime is 5283269. The next prime is 5283329. The reversal of 5283300 is 33825.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2500 + ... + 4100.

It is an arithmetic number, because the mean of its divisors is an integer number (231756).

Almost surely, 25283300 is an apocalyptic number.

5283300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5283300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343216).

5283300 is an abundant number, since it is smaller than the sum of its proper divisors (11403132).

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

5283300 is a wasteful number, since it uses less digits than its factorization.

5283300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5283300 is about 2298.5430167826. The cubic root of 5283300 is about 174.1680237170.

It can be divided in two parts, 528 and 3300, that multiplied together give a square (1742400 = 13202).

The spelling of 5283300 in words is "five million, two hundred eighty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1601 1650 3202 3300 4803 6404 8005 9606 16010 17611 19212 24015 32020 35222 40025 48030 52833 70444 80050 88055 96060 105666 120075 160100 176110 211332 240150 264165 352220 440275 480300 528330 880550 1056660 1320825 1761100 2641650 5283300