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424638 = 23231761
BaseRepresentation
bin1100111101010111110
3210120111100
41213222332
5102042023
613033530
73416004
oct1475276
9716440
10424638
11270045
121858a6
1311b386
14b0a74
1585c43
hex67abe

424638 has 24 divisors (see below), whose sum is σ = 950976. Its totient is φ = 136800.

The previous prime is 424601. The next prime is 424639. The reversal of 424638 is 836424.

424638 is a `hidden beast` number, since 4 + 24 + 638 = 666.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2424638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475488).

424638 is an abundant number, since it is smaller than the sum of its proper divisors (526338).

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

424638 is a wasteful number, since it uses less digits than its factorization.

424638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 797 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 424638 is about 651.6425400478. The cubic root of 424638 is about 75.1633771802.

It can be divided in two parts, 4 and 24638, that added together give a palindrome (24642).

The spelling of 424638 in words is "four hundred twenty-four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 761 1522 2283 4566 6849 13698 23591 47182 70773 141546 212319 424638