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989298306 = 233171397753
BaseRepresentation
bin111010111101110…
…111111010000010
32112221112120011000
4322331313322002
54011230021211
6242100032430
733341616423
oct7275677202
92487476130
10989298306
11468484507
12237392716
13129c61119
149556364a
155bcba656
hex3af77e82

989298306 has 64 divisors (see below), whose sum is σ = 2344809600. Its totient is φ = 308095488.

The previous prime is 989298301. The next prime is 989298329. The reversal of 989298306 is 603892989.

It is a super-2 number, since 2×9892983062 = 1957422276508939272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (989298301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123726 + ... + 131478.

It is an arithmetic number, because the mean of its divisors is an integer number (36637650).

Almost surely, 2989298306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989298306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172404800).

989298306 is an abundant number, since it is smaller than the sum of its proper divisors (1355511294).

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

989298306 is a wasteful number, since it uses less digits than its factorization.

989298306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7914 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 989298306 is about 31453.1128189246. The cubic root of 989298306 is about 996.4199673274.

The spelling of 989298306 in words is "nine hundred eighty-nine million, two hundred ninety-eight thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 139 153 278 306 417 459 834 918 1251 2363 2502 3753 4726 7089 7506 7753 14178 15506 21267 23259 42534 46518 63801 69777 127602 131801 139554 209331 263602 395403 418662 790806 1077667 1186209 2155334 2372418 3233001 3558627 6466002 7117254 9699003 18320339 19398006 29097009 36640678 54961017 58194018 109922034 164883051 329766102 494649153 989298306