Search a number
-
+
166433008 = 24721911173
BaseRepresentation
bin10011110101110…
…01000011110000
3102121011200011111
421322321003300
5320101324013
624303123104
74060441300
oct1172710360
9377150144
10166433008
1185a46645
12478a3494
1328633891
1418165600
15e92873d
hex9eb90f0

166433008 has 60 divisors (see below), whose sum is σ = 394889160. Its totient is φ = 67568256.

The previous prime is 166432999. The next prime is 166433021. The reversal of 166433008 is 800334661.

166433008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9310 + ... + 20482.

It is an arithmetic number, because the mean of its divisors is an integer number (6581486).

Almost surely, 2166433008 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 166433008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197444580).

166433008 is an abundant number, since it is smaller than the sum of its proper divisors (228456152).

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

166433008 is a wasteful number, since it uses less digits than its factorization.

166433008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11214 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 166433008 is about 12900.8917521232. The cubic root of 166433008 is about 550.0639132338.

Adding to 166433008 its reverse (800334661), we get a palindrome (966767669).

The spelling of 166433008 in words is "one hundred sixty-six million, four hundred thirty-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 11173 14896 22346 44692 78211 89384 156422 178768 212287 312844 424574 547477 625688 849148 1094954 1251376 1486009 1698296 2189908 2972018 3396592 4379816 5944036 8759632 10402063 11888072 20804126 23776144 41608252 83216504 166433008