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528000 = 2735311
BaseRepresentation
bin10000000111010000000
3222211021120
42000322000
5113344000
615152240
74326234
oct2007200
9884246
10528000
11330770
12215680
13156435
14da5c4
15a66a0
hex80e80

528000 has 128 divisors (see below), whose sum is σ = 1909440. Its totient is φ = 128000.

The previous prime is 527993. The next prime is 528001. The reversal of 528000 is 825.

528000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47995 + ... + 48005.

2528000 is an apocalyptic number.

528000 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 528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954720).

528000 is an abundant number, since it is smaller than the sum of its proper divisors (1381440).

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

528000 is a wasteful number, since it uses less digits than its factorization.

528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 528000 is about 726.6360849834. The cubic root of 528000 is about 80.8248004124.

Adding to 528000 its reverse (825), we get a palindrome (528825).

The spelling of 528000 in words is "five hundred twenty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 128 132 150 160 165 176 192 200 220 240 250 264 275 300 320 330 352 375 384 400 440 480 500 528 550 600 640 660 704 750 800 825 880 960 1000 1056 1100 1200 1320 1375 1408 1500 1600 1650 1760 1920 2000 2112 2200 2400 2640 2750 3000 3200 3300 3520 4000 4125 4224 4400 4800 5280 5500 6000 6600 7040 8000 8250 8800 9600 10560 11000 12000 13200 16000 16500 17600 21120 22000 24000 26400 33000 35200 44000 48000 52800 66000 88000 105600 132000 176000 264000 528000