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5327978049 = 322928392
BaseRepresentation
bin1001111011001001…
…00111111001000001
3111202022112022212100
410331210213321001
541402430244144
62240405021013
7246014031462
oct47544477101
914668468770
105327978049
112294560849
1210483b4769
1366baa4244
14387878d69
15212b40269
hex13d927e41

5327978049 has 27 divisors (see below), whose sum is σ = 7980008803. Its totient is φ = 3425415504.

The previous prime is 5327978017. The next prime is 5327978111. The reversal of 5327978049 is 9408797235.

The square root of 5327978049 is 72993.

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

It can be written as a sum of positive squares in only one way, i.e., 2793862449 + 2534115600 = 52857^2 + 50340^2 .

It is not a de Polignac number, because 5327978049 - 25 = 5327978017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5327977986 and 5327978004.

It is not an unprimeable number, because it can be changed into a prime (5327978749) 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, 6349972 + ... + 6350810.

Almost surely, 25327978049 is an apocalyptic number.

5327978049 is the 72993-rd square number.

5327978049 is the 36497-th centered octagonal number.

It is an amenable number.

5327978049 is a deficient number, since it is larger than the sum of its proper divisors (2652030754).

5327978049 is an frugal number, since it uses more digits than its factorization.

5327978049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The cubic root of 5327978049 is about 1746.5759496610.

It can be divided in two parts, 53279 and 78049, that added together give a triangular number (131328 = T512).

The spelling of 5327978049 in words is "five billion, three hundred twenty-seven million, nine hundred seventy-eight thousand, forty-nine".

Divisors: 1 3 9 29 87 261 839 841 2517 2523 7551 7569 24331 72993 218979 703921 705599 2111763 2116797 6335289 6350391 20413709 61241127 183723381 591997561 1775992683 5327978049