Search a number
-
+
558472320 = 27385719
BaseRepresentation
bin100001010010011…
…001110010000000
31102220212100000000
4201102121302000
52120432103240
6131230000000
716560636120
oct4122316200
91386770000
10558472320
1126727457a
12137046000
138b9188c3
1454256c80
1534068430
hex21499c80

558472320 has 576 divisors, whose sum is σ = 2409076800. Its totient is φ = 120932352.

The previous prime is 558472319. The next prime is 558472331. The reversal of 558472320 is 23274855.

558472320 is a `hidden beast` number, since 5 + 584 + 72 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29393271 + ... + 29393289.

It is an arithmetic number, because the mean of its divisors is an integer number (4182425).

Almost surely, 2558472320 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 558472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204538400).

558472320 is an abundant number, since it is smaller than the sum of its proper divisors (1850604480).

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

558472320 is an frugal number, since it uses more digits than its factorization.

558472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 558472320 is about 23632.0189573384. The cubic root of 558472320 is about 823.5068529395.

It can be divided in two parts, 558 and 472320, that added together give a triangular number (472878 = T972).

The spelling of 558472320 in words is "five hundred fifty-eight million, four hundred seventy-two thousand, three hundred twenty".