Search a number
-
+
538205328 = 243234710771
BaseRepresentation
bin100000000101000…
…101110010010000
31101111201122220200
4200011011302100
52100240032303
6125223335200
716223445513
oct4005056220
91344648820
10538205328
112568916a1
121302b1500
1387670abb
145169cd7a
15323b33a3
hex20145c90

538205328 has 60 divisors (see below), whose sum is σ = 1510708368. Its totient is φ = 178868160.

The previous prime is 538205323. The next prime is 538205377. The reversal of 538205328 is 823502835.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 538205292 and 538205301.

It is not an unprimeable number, because it can be changed into a prime (538205323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44583 + ... + 55353.

Almost surely, 2538205328 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 538205328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755354184).

538205328 is an abundant number, since it is smaller than the sum of its proper divisors (972503040).

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

538205328 is a wasteful number, since it uses less digits than its factorization.

538205328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11132 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 538205328 is about 23199.2527465865. The cubic root of 538205328 is about 813.4221560852.

The spelling of 538205328 in words is "five hundred thirty-eight million, two hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2776 3123 4164 5552 6246 8328 10771 12492 16656 21542 24984 32313 43084 49968 64626 86168 96939 129252 172336 193878 258504 387756 517008 775512 1551024 3737537 7475074 11212611 14950148 22425222 29900296 33637833 44850444 59800592 67275666 89700888 134551332 179401776 269102664 538205328