Search a number
-
+
532820000 = 255426641
BaseRepresentation
bin11111110000100…
…011000000100000
31101010121001122002
4133300203000200
52042400220000
6124512103132
716126616036
oct3760430040
91333531562
10532820000
11253843609
1212a534aa8
138650680b
1450a9a556
1531b9c8d5
hex1fc23020

532820000 has 60 divisors (see below), whose sum is σ = 1310866326. Its totient is φ = 213120000.

The previous prime is 532819993. The next prime is 532820053. The reversal of 532820000 is 28235.

It can be written as a sum of positive squares in 5 ways, for example, as 13162384 + 519657616 = 3628^2 + 22796^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 6680 + ... + 33320.

Almost surely, 2532820000 is an apocalyptic number.

532820000 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 532820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655433163).

532820000 is an abundant number, since it is smaller than the sum of its proper divisors (778046326).

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

532820000 is an equidigital number, since it uses as much as digits as its factorization.

532820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26671 (or 26648 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 532820000 is about 23082.8940993109. The cubic root of 532820000 is about 810.6999994710.

Adding to 532820000 its reverse (28235), we get a palindrome (532848235).

The spelling of 532820000 in words is "five hundred thirty-two million, eight hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 26641 53282 106564 133205 213128 266410 426256 532820 666025 852512 1065640 1332050 2131280 2664100 3330125 4262560 5328200 6660250 10656400 13320500 16650625 21312800 26641000 33301250 53282000 66602500 106564000 133205000 266410000 532820000