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58933985 = 5111763031
BaseRepresentation
bin1110000011010…
…0001011100001
311002220011020012
43200310023201
5110041341420
65503054305
71313634125
oct340641341
9132804205
1058933985
11302a2a80
12178a1395
13c2959a6
147b81585
155291dc5
hex38342e1

58933985 has 16 divisors (see below), whose sum is σ = 81689472. Its totient is φ = 40339200.

The previous prime is 58933943. The next prime is 58933993.

58933985 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58933985 - 28 = 58933729 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30581 + ... + 32450.

It is an arithmetic number, because the mean of its divisors is an integer number (5105592).

Almost surely, 258933985 is an apocalyptic number.

58933985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58933985 is a deficient number, since it is larger than the sum of its proper divisors (22755487).

58933985 is a wasteful number, since it uses less digits than its factorization.

58933985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63064.

The product of its digits is 1166400, while the sum is 50.

The square root of 58933985 is about 7676.8473346811. The cubic root of 58933985 is about 389.1543918309.

The spelling of 58933985 in words is "fifty-eight million, nine hundred thirty-three thousand, nine hundred eighty-five".

Divisors: 1 5 11 17 55 85 187 935 63031 315155 693341 1071527 3466705 5357635 11786797 58933985