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42056 = 237751
BaseRepresentation
bin1010010001001000
32010200122
422101020
52321211
6522412
7233420
oct122110
963618
1042056
1129663
1220408
13161b1
1411480
15c6db
hexa448

42056 has 16 divisors (see below), whose sum is σ = 90240. Its totient is φ = 18000.

The previous prime is 42043. The next prime is 42061. The reversal of 42056 is 65024.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42056.

It is an unprimeable number.

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, 320 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (5640).

242056 is an apocalyptic number.

It is an amenable number.

42056 is an abundant number, since it is smaller than the sum of its proper divisors (48184).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45120).

42056 is a wasteful number, since it uses less digits than its factorization.

42056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 42056 is about 205.0755958177. The cubic root of 42056 is about 34.7757085950.

The spelling of 42056 in words is "forty-two thousand, fifty-six", and thus it is an eban number.

Divisors: 1 2 4 7 8 14 28 56 751 1502 3004 5257 6008 10514 21028 42056