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428166 = 235881
BaseRepresentation
bin1101000100010000110
3210202100000
41220202012
5102200131
613102130
73432204
oct1504206
9722300
10428166
11272762
12187946
1311cb6b
14b2074
1586ce6
hex68886

428166 has 24 divisors (see below), whose sum is σ = 963144. Its totient is φ = 142560.

The previous prime is 428161. The next prime is 428167. The reversal of 428166 is 661824.

428166 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×4281662 = 366652247112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428161) 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 11 ways as a sum of consecutive naturals, for example, 46 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2428166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572).

428166 is an abundant number, since it is smaller than the sum of its proper divisors (534978).

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

428166 is an equidigital number, since it uses as much as digits as its factorization.

428166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 886 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 428166 is about 654.3439462546. The cubic root of 428166 is about 75.3709621361.

The spelling of 428166 in words is "four hundred twenty-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 881 1762 2643 5286 7929 15858 23787 47574 71361 142722 214083 428166