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58053006 = 23211449653
BaseRepresentation
bin1101110101110…
…1000110001110
311001020101202100
43131131012032
5104330144011
65432135530
71303304514
oct335350616
9131211670
1058053006
112a8510a0
12175375a6
13c0479bb
1479d24b4
15516ad56
hex375d18e

58053006 has 48 divisors (see below), whose sum is σ = 137732400. Its totient is φ = 17525760.

The previous prime is 58052993. The next prime is 58053067. The reversal of 58053006 is 60035085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88576 + ... + 89228.

It is an arithmetic number, because the mean of its divisors is an integer number (2869425).

Almost surely, 258053006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58053006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68866200).

58053006 is an abundant number, since it is smaller than the sum of its proper divisors (79679394).

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

58053006 is a wasteful number, since it uses less digits than its factorization.

58053006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 58053006 is about 7619.2523255238. The cubic root of 58053006 is about 387.2055475194.

The spelling of 58053006 in words is "fifty-eight million, fifty-three thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 449 653 898 1306 1347 1959 2694 3918 4041 4939 5877 7183 8082 9878 11754 14366 14817 21549 29634 43098 44451 64647 88902 129294 293197 586394 879591 1759182 2638773 3225167 5277546 6450334 9675501 19351002 29026503 58053006