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42256 = 2419139
BaseRepresentation
bin1010010100010000
32010222001
422110100
52323011
6523344
7234124
oct122420
963861
1042256
1129825
1220554
1316306
1411584
15c7c1
hexa510

42256 has 20 divisors (see below), whose sum is σ = 86800. Its totient is φ = 19872.

The previous prime is 42239. The next prime is 42257. The reversal of 42256 is 65224.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

Its product of digits (480) is a multiple of the sum of its prime divisors (160).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (42257) 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, 235 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

242256 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 42256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43400).

42256 is an abundant number, since it is smaller than the sum of its proper divisors (44544).

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

42256 is a wasteful number, since it uses less digits than its factorization.

42256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 42256 is about 205.5626425205. The cubic root of 42256 is about 34.8307474761.

It can be divided in two parts, 422 and 56, that multiplied together give a palindrome (23632).

The spelling of 42256 in words is "forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 139 152 278 304 556 1112 2224 2641 5282 10564 21128 42256