Search a number
-
+
4959962329 = 72100612
BaseRepresentation
bin1001001111010001…
…10000010011011001
3110210200001012012111
410213220300103121
540124222243304
62140101112321
7233624661400
oct44750602331
913720035174
104959962329
112115851123
12b650b86a1
13610780b6a
14350a3c637
151e0698704
hex127a304d9

4959962329 has 9 divisors (see below), whose sum is σ = 5770325631. Its totient is φ = 4250973720.

The previous prime is 4959962327. The next prime is 4959962333. The reversal of 4959962329 is 9232699594.

The square root of 4959962329 is 70427.

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., 2838438729 + 2121523600 = 53277^2 + 46060^2 .

It is not a de Polignac number, because 4959962329 - 21 = 4959962327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4959962327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 487959 + ... + 498019.

Almost surely, 24959962329 is an apocalyptic number.

4959962329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4959962329 is the 70427-th square number.

4959962329 is the 35214-th centered octagonal number.

It is an amenable number.

4959962329 is a deficient number, since it is larger than the sum of its proper divisors (810363302).

4959962329 is an frugal number, since it uses more digits than its factorization.

4959962329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20136 (or 10068 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 58.

The cubic root of 4959962329 is about 1705.3994791544.

The spelling of 4959962329 in words is "four billion, nine hundred fifty-nine million, nine hundred sixty-two thousand, three hundred twenty-nine".

Divisors: 1 7 49 10061 70427 492989 101223721 708566047 4959962329