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426064 = 2431859
BaseRepresentation
bin1101000000001010000
3210122110011
41220001100
5102113224
613044304
73423112
oct1500120
9718404
10426064
11271121
12186694
1311bc12
14b13b2
1586394
hex68050

426064 has 20 divisors (see below), whose sum is σ = 853120. Its totient is φ = 205920.

The previous prime is 426061. The next prime is 426073. The reversal of 426064 is 460624.

426064 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (42656).

2426064 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 426064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426560).

426064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

426064 is a wasteful number, since it uses less digits than its factorization.

426064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 426064 is about 652.7357811550. The cubic root of 426064 is about 75.2474199179.

Adding to 426064 its reverse (460624), we get a palindrome (886688).

The spelling of 426064 in words is "four hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 859 1718 3436 6872 13744 26629 53258 106516 213032 426064