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58300385 = 51113671217
BaseRepresentation
bin1101111001100…
…1011111100001
311001200222002112
43132121133201
5104411103020
65441325105
71305354653
oct336313741
9131628075
1058300385
112a9aaa40
1217636795
13c103490
147a586d3
1551b92c5
hex37997e1

58300385 has 32 divisors (see below), whose sum is σ = 83486592. Its totient is φ = 38522880.

The previous prime is 58300381. The next prime is 58300387.

58300385 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58300385 - 22 = 58300381 is a prime.

It is a super-2 number, since 2×583003852 = 6797869782296450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58300381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47297 + ... + 48513.

It is an arithmetic number, because the mean of its divisors is an integer number (2608956).

Almost surely, 258300385 is an apocalyptic number.

58300385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58300385 is a deficient number, since it is larger than the sum of its proper divisors (25186207).

58300385 is a wasteful number, since it uses less digits than its factorization.

58300385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 58300385 is about 7635.4688788574. The cubic root of 58300385 is about 387.7547627499.

It can be divided in two parts, 58300 and 385, that added together give a palindrome (58685).

The spelling of 58300385 in words is "fifty-eight million, three hundred thousand, three hundred eighty-five".

Divisors: 1 5 11 13 55 65 67 143 335 715 737 871 1217 3685 4355 6085 9581 13387 15821 47905 66935 79105 81539 174031 407695 870155 896929 1060007 4484645 5300035 11660077 58300385