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1989314208 = 25337328921
BaseRepresentation
bin111011010010010…
…1000011010100000
312010122020122002000
41312210220122200
513033231023313
6525221524000
7100203614610
oct16644503240
95118218060
101989314208
11930a09232
12476273600
132591a55cb
1414c2b6a40
15b99a1673
hex769286a0

1989314208 has 96 divisors (see below), whose sum is σ = 6631067520. Its totient is φ = 568373760.

The previous prime is 1989314191. The next prime is 1989314209. The reversal of 1989314208 is 8024139891.

1989314208 is a `hidden beast` number, since 198 + 9 + 31 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1989314209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158413 + ... + 170508.

It is an arithmetic number, because the mean of its divisors is an integer number (69073620).

Almost surely, 21989314208 is an apocalyptic number.

1989314208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1989314208 is an abundant number, since it is smaller than the sum of its proper divisors (4641753312).

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

1989314208 is a wasteful number, since it uses less digits than its factorization.

1989314208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328947 (or 328933 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1989314208 is about 44601.7287557332. The cubic root of 1989314208 is about 1257.6731660130.

The spelling of 1989314208 in words is "one billion, nine hundred eighty-nine million, three hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 328921 657842 986763 1315684 1973526 2302447 2631368 2960289 3947052 4604894 5262736 5920578 6907341 7894104 8880867 9209788 10525472 11841156 13814682 15788208 17761734 18419576 20722023 23682312 27629364 31576416 35523468 36839152 41444046 47364624 55258728 62166069 71046936 73678304 82888092 94729248 110517456 124332138 142093872 165776184 221034912 248664276 284187744 331552368 497328552 663104736 994657104 1989314208