Search a number
-
+
530442000 = 243353111947
BaseRepresentation
bin11111100111011…
…110011100010000
31100222010020122000
4133213132130100
52041243121000
6124345114000
716100453064
oct3747363420
91328106560
10530442000
11252469a20
12129788900
1385b8330a
145063baa4
153187d000
hex1f9de710

530442000 has 640 divisors, whose sum is σ = 2228428800. Its totient is φ = 119232000.

The previous prime is 530441993. The next prime is 530442013. The reversal of 530442000 is 244035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 127 ways as a sum of consecutive naturals, for example, 11285977 + ... + 11286023.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2530442000 is an apocalyptic number.

530442000 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 530442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114214400).

530442000 is an abundant number, since it is smaller than the sum of its proper divisors (1697986800).

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

530442000 is a wasteful number, since it uses less digits than its factorization.

530442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 530442000 is about 23031.3264924103. The cubic root of 530442000 is about 809.4921370593.

Adding to 530442000 its reverse (244035), we get a palindrome (530686035).

The spelling of 530442000 in words is "five hundred thirty million, four hundred forty-two thousand".