Search a number
-
+
6403680529 = 43218612
BaseRepresentation
bin1011111011011000…
…00110100100010001
3121112021122200020221
411331230012210101
5101103320234104
62535233033041
7314455246351
oct57554064421
917467580227
106403680529
11279678aa64
1212a86b5781
137b08c869c
1444a690b61
152772c6c54
hex17db06911

6403680529 has 9 divisors (see below), whose sum is σ = 6559591419. Its totient is φ = 6251396760.

The previous prime is 6403680527. The next prime is 6403680541. The reversal of 6403680529 is 9250863046.

The square root of 6403680529 is 80023.

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., 6880129 + 6396800400 = 2623^2 + 79980^2 .

It is not a de Polignac number, because 6403680529 - 21 = 6403680527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6403680527) 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, 3440059 + ... + 3441919.

It is an arithmetic number, because the mean of its divisors is an integer number (728843491).

Almost surely, 26403680529 is an apocalyptic number.

6403680529 is the 80023-rd square number.

6403680529 is the 40012-nd centered octagonal number.

It is an amenable number.

6403680529 is a deficient number, since it is larger than the sum of its proper divisors (155910890).

6403680529 is an frugal number, since it uses more digits than its factorization.

6403680529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The cubic root of 6403680529 is about 1856.9913715398.

The spelling of 6403680529 in words is "six billion, four hundred three million, six hundred eighty thousand, five hundred twenty-nine".

Divisors: 1 43 1849 1861 80023 3440989 3463321 148922803 6403680529