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80983638 = 235281593
BaseRepresentation
bin1001101001110…
…11011001010110
312122101101200000
410310323121112
5131212434023
612011432130
72002230621
oct464733126
9178341600
1080983638
114179322a
1223155646
1313a16018
14aa80db8
15719a243
hex4d3b656

80983638 has 48 divisors (see below), whose sum is σ = 182918736. Its totient is φ = 26853120.

The previous prime is 80983619. The next prime is 80983657. The reversal of 80983638 is 83638908.

80983638 is a `hidden beast` number, since 8 + 0 + 9 + 8 + 3 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (80983619) and next prime (80983657).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 80983593 and 80983602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136270 + ... + 136862.

It is an arithmetic number, because the mean of its divisors is an integer number (3810807).

Almost surely, 280983638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80983638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91459368).

80983638 is an abundant number, since it is smaller than the sum of its proper divisors (101935098).

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

80983638 is a wasteful number, since it uses less digits than its factorization.

80983638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 80983638 is about 8999.0909540909. The cubic root of 80983638 is about 432.6457356890.

The spelling of 80983638 in words is "eighty million, nine hundred eighty-three thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 281 486 562 593 843 1186 1686 1779 2529 3558 5058 5337 7587 10674 15174 16011 22761 32022 45522 48033 68283 96066 136566 144099 166633 288198 333266 499899 999798 1499697 2999394 4499091 8998182 13497273 26994546 40491819 80983638