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58058253 = 32112812087
BaseRepresentation
bin1101110101111…
…0011000001101
311001020122221200
43131132120031
5104330331003
65432220113
71303326021
oct335363015
9131218850
1058058253
112a855030
121753a639
13c04a1c6
1479d4381
15516c6a3
hex375e60d

58058253 has 24 divisors (see below), whose sum is σ = 91855296. Its totient is φ = 35044800.

The previous prime is 58058239. The next prime is 58058269. The reversal of 58058253 is 35285085.

58058253 is a `hidden beast` number, since 580 + 58 + 25 + 3 = 666.

It is not a de Polignac number, because 58058253 - 24 = 58058237 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58058353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26776 + ... + 28862.

It is an arithmetic number, because the mean of its divisors is an integer number (3827304).

Almost surely, 258058253 is an apocalyptic number.

It is an amenable number.

58058253 is a deficient number, since it is larger than the sum of its proper divisors (33797043).

58058253 is a wasteful number, since it uses less digits than its factorization.

58058253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2382 counting only the distinct ones).

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

The square root of 58058253 is about 7619.5966428677. The cubic root of 58058253 is about 387.2172127569.

It can be divided in two parts, 58058 and 253, that added together give a triangular number (58311 = T341).

The spelling of 58058253 in words is "fifty-eight million, fifty-eight thousand, two hundred fifty-three".

Divisors: 1 3 9 11 33 99 281 843 2087 2529 3091 6261 9273 18783 22957 27819 68871 206613 586447 1759341 5278023 6450917 19352751 58058253