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558830052 = 22321117219257
BaseRepresentation
bin100001010011110…
…001000111100100
31102221112111201100
4201103301013210
52121030030202
6131241400100
716563656064
oct4123610744
91387474640
10558830052
11267499320
12137199030
138ba12691
145430b3a4
15340d941c
hex214f11e4

558830052 has 216 divisors, whose sum is σ = 1729859040. Its totient is φ = 150405120.

The previous prime is 558830017. The next prime is 558830053. The reversal of 558830052 is 250038855.

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

It is a junction number, because it is equal to n+sod(n) for n = 558829989 and 558830016.

It is not an unprimeable number, because it can be changed into a prime (558830053) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2174308 + ... + 2174564.

Almost surely, 2558830052 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 558830052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864929520).

558830052 is an abundant number, since it is smaller than the sum of its proper divisors (1171028988).

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

558830052 is a wasteful number, since it uses less digits than its factorization.

558830052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 558830052 is about 23639.5865446078. The cubic root of 558830052 is about 823.6826491034.

The spelling of 558830052 in words is "five hundred fifty-eight million, eight hundred thirty thousand, fifty-two".