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5147058049 = 723722772
BaseRepresentation
bin1001100101100100…
…11101111110000001
3111021201002122021121
410302302131332001
541020121324144
62210423152241
7241356162100
oct46262357601
914251078247
105147058049
11220141a991
12bb78a5681
1364046a6a3
1436b822037
15201d04384
hex132c9df81

5147058049 has 27 divisors (see below), whose sum is σ = 6175884393. Its totient is φ = 4277030688.

The previous prime is 5147058047. The next prime is 5147058073. The reversal of 5147058049 is 9408507415.

The square root of 5147058049 is 71743.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 49098049 + 5097960000 = 7007^2 + 71400^2 .

It is not a de Polignac number, because 5147058049 - 21 = 5147058047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5147057996 and 5147058014.

It is not an unprimeable number, because it can be changed into a prime (5147058047) 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 26 ways as a sum of consecutive naturals, for example, 18581299 + ... + 18581575.

It is an arithmetic number, because the mean of its divisors is an integer number (228736459).

Almost surely, 25147058049 is an apocalyptic number.

5147058049 is the 71743-rd square number.

5147058049 is the 35872-nd centered octagonal number.

It is an amenable number.

5147058049 is a deficient number, since it is larger than the sum of its proper divisors (1028826344).

5147058049 is an frugal number, since it uses more digits than its factorization.

5147058049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The cubic root of 5147058049 is about 1726.5786066201.

The spelling of 5147058049 in words is "five billion, one hundred forty-seven million, fifty-eight thousand, forty-nine".

Divisors: 1 7 37 49 259 277 1369 1813 1939 9583 10249 13573 67081 71743 76729 379213 502201 537103 2654491 2838973 3759721 18581437 19872811 105042001 139109677 735294007 5147058049