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989608900 = 225272201961
BaseRepresentation
bin111010111111000…
…011101111000100
32112222010100012111
4322333003233010
54011314441100
6242110430404
733344352100
oct7277035704
92488110174
10989608900
114686768a5
12237502404
1312a03c5c7
1495604900
155bd2c6ba
hex3afc3bc4

989608900 has 54 divisors (see below), whose sum is σ = 2498067978. Its totient is φ = 339292800.

The previous prime is 989608883. The next prime is 989608903. The reversal of 989608900 is 9806989.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 989605764 = 56^2 + 31458^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (989608903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96081 + ... + 105880.

Almost surely, 2989608900 is an apocalyptic number.

It is an amenable number.

989608900 is an abundant number, since it is smaller than the sum of its proper divisors (1508459078).

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

989608900 is a wasteful number, since it uses less digits than its factorization.

989608900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201989 (or 201975 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The square root of 989608900 is about 31458.0498441973. The cubic root of 989608900 is about 996.5242330409.

The spelling of 989608900 in words is "nine hundred eighty-nine million, six hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 201961 403922 807844 1009805 1413727 2019610 2827454 4039220 5049025 5654908 7068635 9896089 10098050 14137270 19792178 20196100 28274540 35343175 39584356 49480445 70686350 98960890 141372700 197921780 247402225 494804450 989608900