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4217424 = 243412143
BaseRepresentation
bin10000000101101001010000
321221021012220
4100011221100
52034424144
6230221040
750563461
oct20055120
97837186
104217424
112420682
1214b4780
13b48823
147bad68
15584919
hex405a50

4217424 has 40 divisors (see below), whose sum is σ = 11165952. Its totient is φ = 1370880.

The previous prime is 4217417. The next prime is 4217431. The reversal of 4217424 is 4247124.

It is an interprime number because it is at equal distance from previous prime (4217417) and next prime (4217431).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4217394 and 4217403.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 897 + ... + 3039.

Almost surely, 24217424 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 4217424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582976).

4217424 is an abundant number, since it is smaller than the sum of its proper divisors (6948528).

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

4217424 is a wasteful number, since it uses less digits than its factorization.

4217424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2189 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 4217424 is about 2053.6367741156. The cubic root of 4217424 is about 161.5656709094.

The spelling of 4217424 in words is "four million, two hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 2143 4286 6429 8572 12858 17144 25716 34288 51432 87863 102864 175726 263589 351452 527178 702904 1054356 1405808 2108712 4217424