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58344385 = 5114797
BaseRepresentation
bin1101111010010…
…0001111000001
311001210012110011
43132210033001
5104414010020
65442304521
71305630151
oct336441701
9131705404
1058344385
112aa30000
1217658141
13c11a508
147a6a761
1551c735a
hex37a43c1

58344385 has 20 divisors (see below), whose sum is σ = 77110740. Its totient is φ = 42379040.

The previous prime is 58344379. The next prime is 58344427.

58344385 is nontrivially palindromic in base 10.

58344385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24611521 + 33732864 = 4961^2 + 5808^2 .

It is not a de Polignac number, because 58344385 - 27 = 58344257 is a prime.

It is a super-2 number, since 2×583443852 = 6808134522056450, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 72807 + ... + 73603.

It is an arithmetic number, because the mean of its divisors is an integer number (3855537).

Almost surely, 258344385 is an apocalyptic number.

58344385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58344385 is a deficient number, since it is larger than the sum of its proper divisors (18766355).

58344385 is an frugal number, since it uses more digits than its factorization.

58344385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 813 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 58344385 is about 7638.3496254099. The cubic root of 58344385 is about 387.8522859438.

It can be divided in two parts, 58 and 344385, that added together give a palindrome (344443).

The spelling of 58344385 in words is "fifty-eight million, three hundred forty-four thousand, three hundred eighty-five".

Divisors: 1 5 11 55 121 605 797 1331 3985 6655 8767 14641 43835 73205 96437 482185 1060807 5304035 11668877 58344385