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989870208 = 27319211643
BaseRepresentation
bin111011000000000…
…011100010000000
32112222121121122120
4323000003202000
54011401321313
6242120204240
733346520655
oct7300034200
92488547576
10989870208
11468835158
12237609680
1312a101522
1495671c2c
155bd7ed23
hex3b003880

989870208 has 128 divisors (see below), whose sum is σ = 2785171200. Its totient is φ = 310625280.

The previous prime is 989870197. The next prime is 989870249. The reversal of 989870208 is 802078989.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539135 + ... + 1539777.

It is an arithmetic number, because the mean of its divisors is an integer number (21759150).

Almost surely, 2989870208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392585600).

989870208 is an abundant number, since it is smaller than the sum of its proper divisors (1795300992).

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

989870208 is a wasteful number, since it uses less digits than its factorization.

989870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 989870208 is about 31462.2028472261. The cubic root of 989870208 is about 996.6119366573.

The spelling of 989870208 in words is "nine hundred eighty-nine million, eight hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 211 228 304 384 422 456 608 633 643 844 912 1216 1266 1286 1688 1824 1929 2432 2532 2572 3376 3648 3858 4009 5064 5144 6752 7296 7716 8018 10128 10288 12027 12217 13504 15432 16036 20256 20576 24054 24434 27008 30864 32072 36651 40512 41152 48108 48868 61728 64144 73302 81024 82304 96216 97736 123456 128288 135673 146604 192432 195472 246912 256576 271346 293208 384864 390944 407019 513152 542692 586416 769728 781888 814038 1085384 1172832 1539456 1563776 1628076 2170768 2345664 2577787 3256152 4341536 4691328 5155574 6512304 7733361 8683072 10311148 13024608 15466722 17366144 20622296 26049216 30933444 41244592 52098432 61866888 82489184 123733776 164978368 247467552 329956736 494935104 989870208