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985363589 = 7289225949
BaseRepresentation
bin111010101110110…
…111010010000101
32112200010122201202
4322232313102011
54004223113324
6241435432245
733263311100
oct7256672205
92480118652
10985363589
11466237281
12235bb5685
131291b41a2
1494c1b737
155b78e8ae
hex3abb7485

985363589 has 12 divisors (see below), whose sum is σ = 1159123500. Its totient is φ = 835103808.

The previous prime is 985363567. The next prime is 985363607.

985363589 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 674440900 + 310922689 = 25970^2 + 17633^2 .

It is a de Polignac number, because none of the positive numbers 2k-985363589 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985363549) 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 11 ways as a sum of consecutive naturals, for example, 108614 + ... + 117335.

It is an arithmetic number, because the mean of its divisors is an integer number (96593625).

Almost surely, 2985363589 is an apocalyptic number.

It is an amenable number.

985363589 is a deficient number, since it is larger than the sum of its proper divisors (173759911).

985363589 is a wasteful number, since it uses less digits than its factorization.

985363589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226052 (or 226045 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 56.

The square root of 985363589 is about 31390.5015729281. The cubic root of 985363589 is about 995.0971981510.

The spelling of 985363589 in words is "nine hundred eighty-five million, three hundred sixty-three thousand, five hundred eighty-nine".

Divisors: 1 7 49 89 623 4361 225949 1581643 11071501 20109461 140766227 985363589