Search a number
-
+
8414082 = 2321731887
BaseRepresentation
bin100000000110…
…001110000010
3120211110221200
4200012032002
54123222312
6500202030
7131342565
oct40061602
916743850
108414082
114827696
122999316
131987a61
1411904dc
15b130dc
hex806382

8414082 has 48 divisors (see below), whose sum is σ = 19948032. Its totient is φ = 2551680.

The previous prime is 8414069. The next prime is 8414083. The reversal of 8414082 is 2804148.

It is a super-3 number, since 3×84140823 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8414083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9043 + ... + 9929.

It is an arithmetic number, because the mean of its divisors is an integer number (415584).

Almost surely, 28414082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8414082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974016).

8414082 is an abundant number, since it is smaller than the sum of its proper divisors (11533950).

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

8414082 is a wasteful number, since it uses less digits than its factorization.

8414082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8414082 is about 2900.7037077234. The cubic root of 8414082 is about 203.3928023372.

The spelling of 8414082 in words is "eight million, four hundred fourteen thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 887 1054 1581 1774 2661 3162 4743 5322 7983 9486 15079 15966 27497 30158 45237 54994 82491 90474 135711 164982 247473 271422 467449 494946 934898 1402347 2804694 4207041 8414082