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58199505 = 3572136091
BaseRepresentation
bin1101111000000…
…0110111010001
311001111211201020
43132000313101
5104344341010
65435230053
71304454600
oct336006721
9131454636
1058199505
112a941171
12175a8329
13c0995a0
147a2da37
155199470
hex3780dd1

58199505 has 48 divisors (see below), whose sum is σ = 116673984. Its totient is φ = 24554880.

The previous prime is 58199447. The next prime is 58199507. The reversal of 58199505 is 50599185.

It is a happy number.

58199505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58199505 - 26 = 58199441 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (58199507) 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 47 ways as a sum of consecutive naturals, for example, 6510 + ... + 12600.

It is an arithmetic number, because the mean of its divisors is an integer number (2430708).

Almost surely, 258199505 is an apocalyptic number.

It is an amenable number.

58199505 is an abundant number, since it is smaller than the sum of its proper divisors (58474479).

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

58199505 is a wasteful number, since it uses less digits than its factorization.

58199505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 42.

The square root of 58199505 is about 7628.8600065803. The cubic root of 58199505 is about 387.5309833013.

The spelling of 58199505 in words is "fifty-eight million, one hundred ninety-nine thousand, five hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 6091 9555 18273 30455 42637 79183 91365 127911 213185 237549 298459 395915 554281 639555 895377 1187745 1492295 1662843 2771405 3879967 4476885 8314215 11639901 19399835 58199505