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989812144 = 241931105031
BaseRepresentation
bin111010111111110…
…101010110110000
32112222111200000001
4322333311112300
54011342442034
6242115035344
733346156456
oct7277652660
92488450001
10989812144
114687a5572
1223759bb54
1312a0b0c79
14956589d6
155bd6ca14
hex3aff55b0

989812144 has 40 divisors (see below), whose sum is σ = 2083834880. Its totient is φ = 453729600.

The previous prime is 989812129. The next prime is 989812147. The reversal of 989812144 is 441218989.

It is a junction number, because it is equal to n+sod(n) for n = 989812094 and 989812103.

It is not an unprimeable number, because it can be changed into a prime (989812147) 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 7 ways as a sum of consecutive naturals, for example, 43092 + ... + 61939.

It is an arithmetic number, because the mean of its divisors is an integer number (52095872).

Almost surely, 2989812144 is an apocalyptic number.

It is an amenable number.

989812144 is an abundant number, since it is smaller than the sum of its proper divisors (1094022736).

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

989812144 is a wasteful number, since it uses less digits than its factorization.

989812144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105089 (or 105083 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The square root of 989812144 is about 31461.2800756740. The cubic root of 989812144 is about 996.5924497904.

The spelling of 989812144 in words is "nine hundred eighty-nine million, eight hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424 105031 210062 420124 840248 1680496 1995589 3255961 3991178 6511922 7982356 13023844 15964712 26047688 31929424 52095376 61863259 123726518 247453036 494906072 989812144