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58008874 = 27112931419
BaseRepresentation
bin1101110101001…
…0010100101010
311001011011012211
43131102110222
5104322240444
65431155334
71303032040
oct335222452
9131134184
1058008874
112a820a20
1217515b4a
13c0308a1
1479c0390
15515cc34
hex375252a

58008874 has 64 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 21067200.

The previous prime is 58008869. The next prime is 58008877. The reversal of 58008874 is 47880085.

58008874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (58008877) 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 31 ways as a sum of consecutive naturals, for example, 138237 + ... + 138655.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 258008874 is an apocalyptic number.

58008874 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

58008874 is a wasteful number, since it uses less digits than its factorization.

58008874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 58008874 is about 7616.3556902235. The cubic root of 58008874 is about 387.1074045269.

The spelling of 58008874 in words is "fifty-eight million, eight thousand, eight hundred seventy-four".

Divisors: 1 2 7 11 14 22 29 31 58 62 77 154 203 217 319 341 406 419 434 638 682 838 899 1798 2233 2387 2933 4466 4609 4774 5866 6293 9218 9889 12151 12586 12989 19778 24302 25978 32263 64526 69223 85057 90923 133661 138446 142879 170114 181846 267322 285758 376681 753362 935627 1000153 1871254 2000306 2636767 4143491 5273534 8286982 29004437 58008874