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58285320 = 2335716841
BaseRepresentation
bin1101111001010…
…1110100001000
311001200012102120
43132111310020
5104410112240
65441131240
71305263022
oct336256410
9131605376
1058285320
112a99a695
1217629b20
13c0c9672
147a53012
1551b4ad0
hex3795d08

58285320 has 64 divisors (see below), whose sum is σ = 177344640. Its totient is φ = 15321600.

The previous prime is 58285277. The next prime is 58285321. The reversal of 58285320 is 2358285.

58285320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58285321) 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 15 ways as a sum of consecutive naturals, for example, 5100 + ... + 11940.

It is an arithmetic number, because the mean of its divisors is an integer number (2771010).

Almost surely, 258285320 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 58285320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88672320).

58285320 is an abundant number, since it is smaller than the sum of its proper divisors (119059320).

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

58285320 is a wasteful number, since it uses less digits than its factorization.

58285320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6926 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 58285320 is about 7634.4823007195. The cubic root of 58285320 is about 387.7213608623.

The spelling of 58285320 in words is "fifty-eight million, two hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 6841 8520 13682 20523 27364 34205 41046 54728 68410 82092 102615 136820 164184 205230 273640 410460 485711 820920 971422 1457133 1942844 2428555 2914266 3885688 4857110 5828532 7285665 9714220 11657064 14571330 19428440 29142660 58285320