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4800134089 = 7928772
BaseRepresentation
bin1000111100001110…
…00011101111001001
3110101112022002002001
410132013003233021
534312313242324
62112151311001
7226644316012
oct43607035711
913345262061
104800134089
112043606873
12b1b67b461
135b662063a
14337716009
151d1626e44
hex11e1c3bc9

4800134089 has 9 divisors (see below), whose sum is σ = 4867214247. Its totient is φ = 4733968824.

The previous prime is 4800134047. The next prime is 4800134113. The reversal of 4800134089 is 9804310084.

The square root of 4800134089 is 69283.

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., 4044324025 + 755810064 = 63595^2 + 27492^2 .

It is not a de Polignac number, because 4800134089 - 29 = 4800133577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4800134189) 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 8 ways as a sum of consecutive naturals, for example, 5472919 + ... + 5473795.

It is an arithmetic number, because the mean of its divisors is an integer number (540801583).

Almost surely, 24800134089 is an apocalyptic number.

4800134089 is the 69283-rd square number.

4800134089 is the 34642-nd centered octagonal number.

It is an amenable number.

4800134089 is a deficient number, since it is larger than the sum of its proper divisors (67080158).

4800134089 is an frugal number, since it uses more digits than its factorization.

4800134089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 4800134089 is about 1686.8810381020.

The spelling of 4800134089 in words is "four billion, eight hundred million, one hundred thirty-four thousand, eighty-nine".

Divisors: 1 79 877 6241 69283 769129 5473357 60761191 4800134089