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58333385 = 5116117387
BaseRepresentation
bin1101111010000…
…1100011001001
311001202122100202
43132201203021
5104413132020
65442141545
71305553115
oct336414311
9131678322
1058333385
112aa22810
12176518b5
13c1154c6
147a66745
1551c3e75
hex37a18c9

58333385 has 16 divisors (see below), whose sum is σ = 77620032. Its totient is φ = 41726400.

The previous prime is 58333381. The next prime is 58333391.

58333385 is nontrivially palindromic in base 10.

58333385 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 58333385 - 22 = 58333381 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58333381) 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 15 ways as a sum of consecutive naturals, for example, 5339 + ... + 12048.

It is an arithmetic number, because the mean of its divisors is an integer number (4851252).

Almost surely, 258333385 is an apocalyptic number.

58333385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58333385 is a deficient number, since it is larger than the sum of its proper divisors (19286647).

58333385 is a wasteful number, since it uses less digits than its factorization.

58333385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17464.

The product of its digits is 129600, while the sum is 38.

The square root of 58333385 is about 7637.6295406363. The cubic root of 58333385 is about 387.8279097433.

The spelling of 58333385 in words is "fifty-eight million, three hundred thirty-three thousand, three hundred eighty-five".

Divisors: 1 5 11 55 61 305 671 3355 17387 86935 191257 956285 1060607 5303035 11666677 58333385