Search a number
-
+
558831000 = 233537132389
BaseRepresentation
bin100001010011110…
…001010110011000
31102221112120000110
4201103301112120
52121030043000
6131241404320
716563661620
oct4123612630
91387476013
10558831000
1126749a002
121371996a0
138ba12c40
145430b880
15340d9850
hex214f1598

558831000 has 512 divisors, whose sum is σ = 2264371200. Its totient is φ = 111513600.

The previous prime is 558830999. The next prime is 558831043. The reversal of 558831000 is 138855.

It is a happy number.

It is a super-2 number, since 2×5588310002 = 624584173122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6278956 + ... + 6279044.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2558831000 is an apocalyptic number.

558831000 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 558831000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

558831000 is an abundant number, since it is smaller than the sum of its proper divisors (1705540200).

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

558831000 is a wasteful number, since it uses less digits than its factorization.

558831000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 558831000 is about 23639.6065957114. The cubic root of 558831000 is about 823.6831148686.

Adding to 558831000 its reverse (138855), we get a palindrome (558969855).

The spelling of 558831000 in words is "five hundred fifty-eight million, eight hundred thirty-one thousand".