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424688 = 241119127
BaseRepresentation
bin1100111101011110000
3210120120012
41213223300
5102042223
613034052
73416105
oct1475360
9716505
10424688
11270090
12185928
1311b3c4
14b0aac
1585c78
hex67af0

424688 has 40 divisors (see below), whose sum is σ = 952320. Its totient is φ = 181440.

The previous prime is 424687. The next prime is 424693. The reversal of 424688 is 886424.

424688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 424688.

It is not an unprimeable number, because it can be changed into a prime (424687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3281 + ... + 3407.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2424688 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 424688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160).

424688 is an abundant number, since it is smaller than the sum of its proper divisors (527632).

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

424688 is a wasteful number, since it uses less digits than its factorization.

424688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 424688 is about 651.6809035103. The cubic root of 424688 is about 75.1663271606.

It can be divided in two parts, 4246 and 88, that added together give a palindrome (4334).

The spelling of 424688 in words is "four hundred twenty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 127 152 176 209 254 304 418 508 836 1016 1397 1672 2032 2413 2794 3344 4826 5588 9652 11176 19304 22352 26543 38608 53086 106172 212344 424688