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58124729 = 1329532909
BaseRepresentation
bin1101110110111…
…0100110111001
311001101001010202
43131232212321
5104334442404
65433451545
71304023565
oct335564671
9131331122
1058124729
112a89aa73
1217570bb5
13c071540
147a106a5
15518221e
hex376e9b9

58124729 has 16 divisors (see below), whose sum is σ = 65998800. Its totient is φ = 50808576.

The previous prime is 58124723. The next prime is 58124747. The reversal of 58124729 is 92742185.

It can be written as a sum of positive squares in 8 ways, for example, as 1092025 + 57032704 = 1045^2 + 7552^2 .

It is not a de Polignac number, because 58124729 - 220 = 57076153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58124692 and 58124701.

It is not an unprimeable number, because it can be changed into a prime (58124723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18527 + ... + 21435.

It is an arithmetic number, because the mean of its divisors is an integer number (4124925).

Almost surely, 258124729 is an apocalyptic number.

It is an amenable number.

58124729 is a deficient number, since it is larger than the sum of its proper divisors (7874071).

58124729 is a wasteful number, since it uses less digits than its factorization.

58124729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004.

The product of its digits is 40320, while the sum is 38.

The square root of 58124729 is about 7623.9575680876. The cubic root of 58124729 is about 387.3649427356.

The spelling of 58124729 in words is "fifty-eight million, one hundred twenty-four thousand, seven hundred twenty-nine".

Divisors: 1 13 29 53 377 689 1537 2909 19981 37817 84361 154177 1096693 2004301 4471133 58124729