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8281116 = 223461419
BaseRepresentation
bin11111100101110000011100
3120120201120000
4133211300130
54104443431
6453254300
7130250124
oct37456034
916521500
108281116
1147467a8
122934390
13193c38c
141157c84
15ad89e6
hex7e5c1c

8281116 has 60 divisors (see below), whose sum is σ = 22055880. Its totient is φ = 2708640.

The previous prime is 8281099. The next prime is 8281129. The reversal of 8281116 is 6111828.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8281116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19555 + ... + 19973.

It is an arithmetic number, because the mean of its divisors is an integer number (367598).

Almost surely, 28281116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8281116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027940).

8281116 is an abundant number, since it is smaller than the sum of its proper divisors (13774764).

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

8281116 is a wasteful number, since it uses less digits than its factorization.

8281116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 8281116 is about 2877.6928258589. The cubic root of 8281116 is about 202.3157171199.

The spelling of 8281116 in words is "eight million, two hundred eighty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 419 549 732 838 1098 1257 1647 1676 2196 2514 3294 3771 4941 5028 6588 7542 9882 11313 15084 19764 22626 25559 33939 45252 51118 67878 76677 102236 135756 153354 230031 306708 460062 690093 920124 1380186 2070279 2760372 4140558 8281116