Search a number
-
+
8182986 = 2372343197
BaseRepresentation
bin11111001101110011001010
3120101201221120
4133031303022
54043323421
6451220110
7126361050
oct37156312
916351846
108182986
114689aa9
1228a7636
131906806
1411301d0
15ab98c6
hex7cdcca

8182986 has 64 divisors (see below), whose sum is σ = 20072448. Its totient is φ = 2173248.

The previous prime is 8182981. The next prime is 8182987. The reversal of 8182986 is 6892818.

It is a super-2 number, since 2×81829862 = 133922519752392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8182981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41440 + ... + 41636.

It is an arithmetic number, because the mean of its divisors is an integer number (313632).

Almost surely, 28182986 is an apocalyptic number.

8182986 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8182986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036224).

8182986 is an abundant number, since it is smaller than the sum of its proper divisors (11889462).

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

8182986 is a wasteful number, since it uses less digits than its factorization.

8182986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its digits is 55296, while the sum is 42.

The square root of 8182986 is about 2860.5918967934. The cubic root of 8182986 is about 201.5134025119.

The spelling of 8182986 in words is "eight million, one hundred eighty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 23 42 43 46 69 86 129 138 161 197 258 301 322 394 483 591 602 903 966 989 1182 1379 1806 1978 2758 2967 4137 4531 5934 6923 8274 8471 9062 13593 13846 16942 20769 25413 27186 31717 41538 50826 59297 63434 95151 118594 177891 190302 194833 355782 389666 584499 1168998 1363831 2727662 4091493 8182986