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989898900 = 223527434441
BaseRepresentation
bin111011000000001…
…010100010010100
32112222200002000020
4323000022202110
54011403231100
6242120545140
733350000424
oct7300124224
92488602006
10989898900
11468854771
122376221b0
1312a1115c3
149567c484
155bd885a0
hex3b00a894

989898900 has 72 divisors (see below), whose sum is σ = 2868608064. Its totient is φ = 263558400.

The previous prime is 989898887. The next prime is 989898929. The reversal of 989898900 is 9898989.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220680 + ... + 225120.

Almost surely, 2989898900 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 989898900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434304032).

989898900 is an abundant number, since it is smaller than the sum of its proper divisors (1878709164).

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

989898900 is a wasteful number, since it uses less digits than its factorization.

989898900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 60.

The square root of 989898900 is about 31462.6588196230. The cubic root of 989898900 is about 996.6215657020.

989898900 divided by its reverse (9898989) gives a square (100 = 102).

The spelling of 989898900 in words is "nine hundred eighty-nine million, eight hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 743 1486 2229 2972 3715 4441 4458 7430 8882 8916 11145 13323 14860 17764 18575 22205 22290 26646 37150 44410 44580 53292 55725 66615 74300 88820 111025 111450 133230 222050 222900 266460 333075 444100 666150 1332300 3299663 6599326 9898989 13198652 16498315 19797978 32996630 39595956 49494945 65993260 82491575 98989890 164983150 197979780 247474725 329966300 494949450 989898900