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42855312 = 2431098191
BaseRepresentation
bin1010001101111…
…0101110010000
32222122021102210
42203132232100
541432332222
64130312120
71030156413
oct243365620
988567383
1042855312
1122210915
1212428640
138b56396
145997b7a
153b67d0c
hex28deb90

42855312 has 40 divisors (see below), whose sum is σ = 111738880. Its totient is φ = 14152320.

The previous prime is 42855311. The next prime is 42855331. The reversal of 42855312 is 21355824.

42855312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42855312.

It is not an unprimeable number, because it can be changed into a prime (42855311) 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 7 ways as a sum of consecutive naturals, for example, 1137 + ... + 9327.

It is an arithmetic number, because the mean of its divisors is an integer number (2793472).

Almost surely, 242855312 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 42855312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55869440).

42855312 is an abundant number, since it is smaller than the sum of its proper divisors (68883568).

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

42855312 is a wasteful number, since it uses less digits than its factorization.

42855312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8305 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 42855312 is about 6546.3968715622. The cubic root of 42855312 is about 349.9464190087.

The spelling of 42855312 in words is "forty-two million, eight hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 8191 16382 24573 32764 49146 65528 98292 131056 196584 393168 892819 1785638 2678457 3571276 5356914 7142552 10713828 14285104 21427656 42855312