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2309828989 = 13617339901
BaseRepresentation
bin1000100110101101…
…0011000101111101
312221222100110200211
42021223103011331
514212304011424
61021111352421
7111145136206
oct21153230575
95858313624
102309828989
11a85924786
12545682711
132aa706c20
1417caaa5ad
15d7bb3b94
hex89ad317d

2309828989 has 16 divisors (see below), whose sum is σ = 2562985264. Its totient is φ = 2068416000.

The previous prime is 2309828923. The next prime is 2309828999. The reversal of 2309828989 is 9898289032.

It can be written as a sum of positive squares in 8 ways, for example, as 1080765625 + 1229063364 = 32875^2 + 35058^2 .

It is a cyclic number.

It is not a de Polignac number, because 2309828989 - 27 = 2309828861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2309828909) 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 15 ways as a sum of consecutive naturals, for example, 37939 + ... + 77839.

It is an arithmetic number, because the mean of its divisors is an integer number (160186579).

Almost surely, 22309828989 is an apocalyptic number.

It is an amenable number.

2309828989 is a deficient number, since it is larger than the sum of its proper divisors (253156275).

2309828989 is a wasteful number, since it uses less digits than its factorization.

2309828989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40048.

The product of its (nonzero) digits is 4478976, while the sum is 58.

The square root of 2309828989 is about 48060.6802802457. The cubic root of 2309828989 is about 1321.8837866644.

The spelling of 2309828989 in words is "two billion, three hundred nine million, eight hundred twenty-eight thousand, nine hundred eighty-nine".

Divisors: 1 13 61 73 793 949 4453 39901 57889 518713 2433961 2912773 31641493 37866049 177679153 2309828989