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42443256 = 23347191197
BaseRepresentation
bin1010000111101…
…0000111111000
32221212100012110
42201322013320
541331141011
64113412320
71023522162
oct241720770
987770173
1042443256
1121a5a279
121226a0a0
138a4096b
1458cb932
153ad5ba6
hex287a1f8

42443256 has 64 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 13704320.

The previous prime is 42443249. The next prime is 42443263. The reversal of 42443256 is 65234424.

42443256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42443249) and next prime (42443263).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 215350 + ... + 215546.

It is an arithmetic number, because the mean of its divisors is an integer number (1710720).

Almost surely, 242443256 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 42443256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).

42443256 is an abundant number, since it is smaller than the sum of its proper divisors (67042824).

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

42443256 is a wasteful number, since it uses less digits than its factorization.

42443256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 42443256 is about 6514.8488854309. The cubic root of 42443256 is about 348.8212207932.

The spelling of 42443256 in words is "forty-two million, four hundred forty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 191 197 282 376 382 394 564 573 591 764 788 1128 1146 1182 1528 1576 2292 2364 4584 4728 8977 9259 17954 18518 26931 27777 35908 37036 37627 53862 55554 71816 74072 75254 107724 111108 112881 150508 215448 222216 225762 301016 451524 903048 1768469 3536938 5305407 7073876 10610814 14147752 21221628 42443256