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800082 = 23244449
BaseRepresentation
bin11000011010101010010
31111122111200
43003111102
5201100312
625052030
76541413
oct3032522
91448450
10800082
114a7128
12327016
1322022a
1416b80a
1510c0dc
hexc3552

800082 has 12 divisors (see below), whose sum is σ = 1733550. Its totient is φ = 266688.

The previous prime is 800077. The next prime is 800083. The reversal of 800082 is 280008.

It can be written as a sum of positive squares in only one way, i.e., 549081 + 251001 = 741^2 + 501^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 44449 = 800082 / (8 + 0 + 0 + 0 + 8 + 2).

800082 is a modest number, since divided by 82 gives 8 as remainder.

It is not an unprimeable number, because it can be changed into a prime (800083) by changing a digit.

800082 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22207 + ... + 22242.

2800082 is an apocalyptic number.

800082 is an abundant number, since it is smaller than the sum of its proper divisors (933468).

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

800082 is a wasteful number, since it uses less digits than its factorization.

800082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44457 (or 44454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 800082 is about 894.4730292189. The cubic root of 800082 is about 92.8349483163.

The spelling of 800082 in words is "eight hundred thousand, eighty-two".

Divisors: 1 2 3 6 9 18 44449 88898 133347 266694 400041 800082