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58000085 = 5111381119
BaseRepresentation
bin1101110101000…
…0001011010101
311001010201011022
43131100023111
5104322000320
65431050525
71302664313
oct335201325
9131121138
1058000085
112a815360
1217510a45
13c0298a0
1479bb0b3
15515a325
hex37502d5

58000085 has 16 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 38936640.

The previous prime is 58000067. The next prime is 58000121.

58000085 is nontrivially palindromic in base 10.

58000085 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 58000085 - 210 = 57999061 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39845 + ... + 41274.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 258000085 is an apocalyptic number.

58000085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58000085 is a deficient number, since it is larger than the sum of its proper divisors (23768875).

58000085 is a wasteful number, since it uses less digits than its factorization.

58000085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81148.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 58000085 is about 7615.7786863853. The cubic root of 58000085 is about 387.0878531572.

It can be divided in two parts, 580000 and 85, that added together give a palindrome (580085).

The spelling of 58000085 in words is "fifty-eight million, eighty-five", and thus it is an aban number and an uban number.

Divisors: 1 5 11 13 55 65 143 715 81119 405595 892309 1054547 4461545 5272735 11600017 58000085