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58164741 = 3211715519
BaseRepresentation
bin1101110111100…
…0011000000101
311001110002000200
43131320120011
5104342232431
65434401113
71304251335
oct335703005
9131402020
1058164741
112a918038
1217590199
13c08680b
147a210c5
15518dee6
hex3778605

58164741 has 12 divisors (see below), whose sum is σ = 84102720. Its totient is φ = 38736360.

The previous prime is 58164739. The next prime is 58164761. The reversal of 58164741 is 14746185.

It is a happy number.

58164741 is a `hidden beast` number, since 5 + 8 + 1 + 647 + 4 + 1 = 666.

58164741 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 58164741 - 21 = 58164739 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58164696 and 58164705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58164761) 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 11 ways as a sum of consecutive naturals, for example, 7780 + ... + 13298.

It is an arithmetic number, because the mean of its divisors is an integer number (7008560).

Almost surely, 258164741 is an apocalyptic number.

It is an amenable number.

58164741 is a deficient number, since it is larger than the sum of its proper divisors (25937979).

58164741 is a wasteful number, since it uses less digits than its factorization.

58164741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 6693 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 58164741 is about 7626.5812130994. The cubic root of 58164741 is about 387.4538073276.

The spelling of 58164741 in words is "fifty-eight million, one hundred sixty-four thousand, seven hundred forty-one".

Divisors: 1 3 9 1171 3513 5519 10539 16557 49671 6462749 19388247 58164741