Search a number
-
+
5929000000 = 265672112
BaseRepresentation
bin1011000010110010…
…10101110001000000
3120022012110101222121
411201121111301000
544120311000000
62420155014024
7266632445200
oct54131256100
916265411877
105929000000
112572847500
12119573a314
1373646a031
1440360a400
1524a7b0b1a
hex161655c40

5929000000 has 441 divisors, whose sum is σ = 18804192897. Its totient is φ = 1848000000.

The previous prime is 5928999983. The next prime is 5929000043. The reversal of 5929000000 is 9295.

The square root of 5929000000 is 77000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 5194373184 + 734626816 = 72072^2 + 27104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 538999995 + ... + 539000005.

Almost surely, 25929000000 is an apocalyptic number.

5929000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5929000000 is the 77000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5929000000

5929000000 is an abundant number, since it is smaller than the sum of its proper divisors (12875192897).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5929000000 is an frugal number, since it uses more digits than its factorization.

5929000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The cubic root of 5929000000 is about 1809.9246023353.

Multiplying 5929000000 by its sum of digits (25), we get a square (148225000000 = 3850002).

5929000000 divided by its sum of digits (25) gives a square (237160000 = 154002).

Adding to 5929000000 its reverse (9295), we get a palindrome (5929009295).

The spelling of 5929000000 in words is "five billion, nine hundred twenty-nine million", and thus it is an aban number.