Search a number
-
+
428168 = 231323179
BaseRepresentation
bin1101000100010001000
3210202100002
41220202020
5102200133
613102132
73432206
oct1504210
9722302
10428168
11272764
12187948
1311cb70
14b2076
1586ce8
hex68888

428168 has 32 divisors (see below), whose sum is σ = 907200. Its totient is φ = 187968.

The previous prime is 428167. The next prime is 428173. The reversal of 428168 is 861824.

It is an Ulam number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 428168.

It is not an unprimeable number, because it can be changed into a prime (428161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2303 + ... + 2481.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2428168 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 428168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

428168 is an abundant number, since it is smaller than the sum of its proper divisors (479032).

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

428168 is a wasteful number, since it uses less digits than its factorization.

428168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 428168 is about 654.3454745010. The cubic root of 428168 is about 75.3710794907.

It can be divided in two parts, 42816 and 8, that added together give a palindrome (42824).

The spelling of 428168 in words is "four hundred twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 179 184 299 358 598 716 1196 1432 2327 2392 4117 4654 8234 9308 16468 18616 32936 53521 107042 214084 428168