Search a number
-
+
8645364 = 22327213229
BaseRepresentation
bin100000111110…
…101011110100
3121021020012200
4200332223310
54203122424
6505144500
7133325100
oct40765364
917236180
108645364
114975432
122a8b130
131a39100
141210900
15b5b8c9
hex83eaf4

8645364 has 162 divisors, whose sum is σ = 28476630. Its totient is φ = 2201472.

The previous prime is 8645359. The next prime is 8645381. The reversal of 8645364 is 4635468.

8645364 is a `hidden beast` number, since 8 + 645 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 8643600 = 42^2 + 2940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (69120) is a multiple of the sum of its prime divisors (54).

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 53 ways as a sum of consecutive naturals, for example, 298102 + ... + 298130.

Almost surely, 28645364 is an apocalyptic number.

8645364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8645364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238315).

8645364 is an abundant number, since it is smaller than the sum of its proper divisors (19831266).

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

8645364 is a wasteful number, since it uses less digits than its factorization.

8645364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 8645364 is about 2940.2999846954. The cubic root of 8645364 is about 205.2395692191.

It can be divided in two parts, 8645 and 364, that added together give a palindrome (9009).

The spelling of 8645364 in words is "eight million, six hundred forty-five thousand, three hundred sixty-four".