Search a number
-
+
4306903129 = 292312732
BaseRepresentation
bin1000000001011011…
…00010000001011001
3102010011012100101201
410000231202001121
532310031400004
61551211514201
7211505033614
oct40055420131
912104170351
104306903129
111910153081
12a02458961
135383985b9
142cc00317b
151a31996a4
hex100b62059

4306903129 has 27 divisors (see below), whose sum is σ = 4673070909. Its totient is φ = 3969120960.

The previous prime is 4306903123. The next prime is 4306903151. The reversal of 4306903129 is 9213096034.

The square root of 4306903129 is 65627.

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 36542025 + 4270361104 = 6045^2 + 65348^2 .

It is not a de Polignac number, because 4306903129 - 227 = 4172685401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4306903123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58998637 + ... + 58998709.

Almost surely, 24306903129 is an apocalyptic number.

4306903129 is the 65627-th square number.

4306903129 is the 32814-th centered octagonal number.

It is an amenable number.

4306903129 is a deficient number, since it is larger than the sum of its proper divisors (366167780).

4306903129 is an frugal number, since it uses more digits than its factorization.

4306903129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The cubic root of 4306903129 is about 1627.0030531133.

The spelling of 4306903129 in words is "four billion, three hundred six million, nine hundred three thousand, one hundred twenty-nine".

Divisors: 1 29 31 73 841 899 961 2117 2263 5329 26071 27869 61393 65627 70153 154541 165199 808201 1903183 2034437 4481689 4790771 5121169 58998673 138932359 148513901 4306903129