Search a number
-
+
8809164 = 22327132689
BaseRepresentation
bin100001100110…
…101011001100
3121120112220100
4201212223030
54223343124
6512451100
7134606460
oct41465314
917515810
108809164
114a77501
122b49a90
131a95830
1412544a0
15b901c9
hex866acc

8809164 has 72 divisors (see below), whose sum is σ = 27416480. Its totient is φ = 2322432.

The previous prime is 8809159. The next prime is 8809187. The reversal of 8809164 is 4619088.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932 + ... + 4620.

Almost surely, 28809164 is an apocalyptic number.

8809164 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 8809164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708240).

8809164 is an abundant number, since it is smaller than the sum of its proper divisors (18607316).

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

8809164 is a wasteful number, since it uses less digits than its factorization.

8809164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8809164 is about 2968.0235848120. The cubic root of 8809164 is about 206.5276634941.

The spelling of 8809164 in words is "eight million, eight hundred nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 2689 3276 5378 8067 10756 16134 18823 24201 32268 34957 37646 48402 56469 69914 75292 96804 104871 112938 139828 169407 209742 225876 244699 314613 338814 419484 489398 629226 677628 734097 978796 1258452 1468194 2202291 2936388 4404582 8809164