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58530208 = 2511257647
BaseRepresentation
bin1101111101000…
…1100110100000
311002010122100111
43133101212200
5104440431313
65450301104
71310333002
oct337214640
9132118314
1058530208
1130047680
1217727794
13c183c79
147ab8372
15521243d
hex37d19a0

58530208 has 48 divisors (see below), whose sum is σ = 126391104. Its totient is φ = 26460160.

The previous prime is 58530169. The next prime is 58530209. The reversal of 58530208 is 80203585.

58530208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58530208.

It is not an unprimeable number, because it can be changed into a prime (58530209) 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 7 ways as a sum of consecutive naturals, for example, 90141 + ... + 90787.

It is an arithmetic number, because the mean of its divisors is an integer number (2633148).

Almost surely, 258530208 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 58530208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63195552).

58530208 is an abundant number, since it is smaller than the sum of its proper divisors (67860896).

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

58530208 is a wasteful number, since it uses less digits than its factorization.

58530208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 58530208 is about 7650.5037742622. The cubic root of 58530208 is about 388.2636108481.

The spelling of 58530208 in words is "fifty-eight million, five hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 257 352 514 647 1028 1294 2056 2588 2827 4112 5176 5654 7117 8224 10352 11308 14234 20704 22616 28468 45232 56936 90464 113872 166279 227744 332558 665116 1330232 1829069 2660464 3658138 5320928 7316276 14632552 29265104 58530208