Search a number
-
+
530525000 = 235521221
BaseRepresentation
bin11111100111110…
…010101101001000
31100222021110111002
4133213302231020
52041303300000
6124350554132
716101250055
oct3747625510
91328243432
10530525000
11252516315
12129808948
1385bb2025
145066002c
15318978d5
hex1f9f2b48

530525000 has 48 divisors (see below), whose sum is σ = 1243396980. Its totient is φ = 212200000.

The previous prime is 530524999. The next prime is 530525029. The reversal of 530525000 is 525035.

It can be written as a sum of positive squares in 6 ways, for example, as 1800964 + 528724036 = 1342^2 + 22994^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14390 + ... + 35610.

Almost surely, 2530525000 is an apocalyptic number.

530525000 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 530525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621698490).

530525000 is an abundant number, since it is smaller than the sum of its proper divisors (712871980).

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

530525000 is an equidigital number, since it uses as much as digits as its factorization.

530525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21252 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 530525000 is about 23033.1283155372. The cubic root of 530525000 is about 809.5343561541.

The spelling of 530525000 in words is "five hundred thirty million, five hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 21221 25000 42442 84884 106105 169768 212210 424420 530525 848840 1061050 2122100 2652625 4244200 5305250 10610500 13263125 21221000 26526250 53052500 66315625 106105000 132631250 265262500 530525000