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83889450 = 23252277673
BaseRepresentation
bin1010000000000…
…00110100101010
312211212000200200
411000000310222
5132433430300
612154013030
72036022441
oct500006452
9184760620
1083889450
1143398427
1224117176
13144c2838
14b1d9d58
157571200
hex5000d2a

83889450 has 72 divisors (see below), whose sum is σ = 226532748. Its totient is φ = 22256640.

The previous prime is 83889437. The next prime is 83889467. The reversal of 83889450 is 5498838.

It can be written as a sum of positive squares in 6 ways, for example, as 11350161 + 72539289 = 3369^2 + 8517^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83889396 and 83889405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124314 + ... + 124986.

Almost surely, 283889450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83889450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113266374).

83889450 is an abundant number, since it is smaller than the sum of its proper divisors (142643298).

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

83889450 is a wasteful number, since it uses less digits than its factorization.

83889450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 83889450 is about 9159.1184073578. The cubic root of 83889450 is about 437.7597043099.

The spelling of 83889450 in words is "eighty-three million, eight hundred eighty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 277 450 554 673 831 1346 1385 1662 2019 2493 2770 3365 4038 4155 4986 6057 6730 6925 8310 10095 12114 12465 13850 16825 20190 20775 24930 30285 33650 41550 50475 60570 62325 100950 124650 151425 186421 302850 372842 559263 932105 1118526 1677789 1864210 2796315 3355578 4660525 5592630 8388945 9321050 13981575 16777890 27963150 41944725 83889450