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558966030 = 235723743239
BaseRepresentation
bin100001010100010…
…010010100001110
31102221210102020120
4201110102110032
52121043403110
6131244325410
716565063400
oct4124222416
91387712216
10558966030
112675814a7
12137243866
138ba5c53c
1454344b70
1534114870
hex2151250e

558966030 has 192 divisors, whose sum is σ = 1646853120. Its totient is φ = 120911616.

The previous prime is 558966029. The next prime is 558966049. The reversal of 558966030 is 30669855.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2338651 + ... + 2338889.

It is an arithmetic number, because the mean of its divisors is an integer number (8577360).

Almost surely, 2558966030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558966030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823426560).

558966030 is an abundant number, since it is smaller than the sum of its proper divisors (1087887090).

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

558966030 is a wasteful number, since it uses less digits than its factorization.

558966030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 558966030 is about 23642.4624352033. The cubic root of 558966030 is about 823.7494515452.

The spelling of 558966030 in words is "five hundred fifty-eight million, nine hundred sixty-six thousand, thirty".