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800982 = 233713163
BaseRepresentation
bin11000011100011010110
31111200202000
43003203112
5201112412
625100130
76544140
oct3034326
91450660
10800982
114a7876
12327646
13220770
1416bc90
1510c4dc
hexc38d6

800982 has 64 divisors (see below), whose sum is σ = 2204160. Its totient is φ = 209952.

The previous prime is 800977. The next prime is 800993. The reversal of 800982 is 289008.

800982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4833 + ... + 4995.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

2800982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102080).

800982 is an abundant number, since it is smaller than the sum of its proper divisors (1403178).

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

800982 is a wasteful number, since it uses less digits than its factorization.

800982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800982 is about 894.9759773312. The cubic root of 800982 is about 92.8697448098.

The spelling of 800982 in words is "eight hundred thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 163 182 189 234 273 326 351 378 489 546 702 819 978 1141 1467 1638 2119 2282 2457 2934 3423 4238 4401 4914 6357 6846 8802 10269 12714 14833 19071 20538 29666 30807 38142 44499 57213 61614 88998 114426 133497 266994 400491 800982