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8382114 = 23213113317
BaseRepresentation
bin11111111110011010100010
3120202212002200
4133332122202
54121211424
6455354030
7131150436
oct37763242
916685080
108382114
114805674
122982916
131976340
1411829c6
15b088c9
hex7fe6a2

8382114 has 48 divisors (see below), whose sum is σ = 19793592. Its totient is φ = 2548224.

The previous prime is 8382113. The next prime is 8382133. The reversal of 8382114 is 4112838.

It can be written as a sum of positive squares in 4 ways, for example, as 1172889 + 7209225 = 1083^2 + 2685^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8382113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26284 + ... + 26600.

Almost surely, 28382114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896796).

8382114 is an abundant number, since it is smaller than the sum of its proper divisors (11411478).

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

8382114 is a wasteful number, since it uses less digits than its factorization.

8382114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 448 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 8382114 is about 2895.1880767922. The cubic root of 8382114 is about 203.1348889545.

The spelling of 8382114 in words is "eight million, three hundred eighty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 317 339 634 678 951 1017 1469 1902 2034 2853 2938 4121 4407 5706 8242 8814 12363 13221 24726 26442 35821 37089 71642 74178 107463 214926 322389 465673 644778 931346 1397019 2794038 4191057 8382114