Search a number
-
+
528503040 = 28325133529
BaseRepresentation
bin11111100000000…
…101000100000000
31100211110201212200
4133200011010000
52040244044130
6124235353200
716045126122
oct3740050400
91324421780
10528503040
1125136517a
12128bb2800
13856548c0
1450295212
15315e8760
hex1f805100

528503040 has 216 divisors, whose sum is σ = 1969782360. Its totient is φ = 130056192.

The previous prime is 528503033. The next prime is 528503057. The reversal of 528503040 is 40305825.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 522031104 = 2544^2 + 22848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 528502995 and 528503013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147996 + ... + 151524.

Almost surely, 2528503040 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 528503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984891180).

528503040 is an abundant number, since it is smaller than the sum of its proper divisors (1441279320).

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

528503040 is a wasteful number, since it uses less digits than its factorization.

528503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 528503040 is about 22989.1939832609. The cubic root of 528503040 is about 808.5046026244.

Adding to 528503040 its reverse (40305825), we get a palindrome (568808865).

The spelling of 528503040 in words is "five hundred twenty-eight million, five hundred three thousand, forty".