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58089330 = 232513131379
BaseRepresentation
bin1101110110010…
…1111101110010
311001022020120200
43131211331302
5104332324310
65433020030
71303515435
oct335457562
9131266520
1058089330
112a876412
1217554616
13c05b3b0
147a0181c
1551769c0
hex3765f72

58089330 has 96 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 14152320.

The previous prime is 58089313. The next prime is 58089331. The reversal of 58089330 is 3398085.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58089331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153081 + ... + 153459.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 258089330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58089330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

58089330 is an abundant number, since it is smaller than the sum of its proper divisors (106234830).

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

58089330 is a wasteful number, since it uses less digits than its factorization.

58089330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 58089330 is about 7621.6356512234. The cubic root of 58089330 is about 387.2862893725.

The spelling of 58089330 in words is "fifty-eight million, eighty-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 131 195 234 262 379 390 393 585 655 758 786 1137 1170 1179 1310 1703 1895 1965 2274 2358 3406 3411 3790 3930 4927 5109 5685 5895 6822 8515 9854 10218 11370 11790 14781 15327 17030 17055 24635 25545 29562 30654 34110 44343 49270 49649 51090 73905 76635 88686 99298 147810 148947 153270 221715 248245 297894 443430 446841 496490 645437 744735 893682 1290874 1489470 1936311 2234205 3227185 3872622 4468410 5808933 6454370 9681555 11617866 19363110 29044665 58089330