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4042781056 = 27413112477
BaseRepresentation
bin1111000011110111…
…1111000110000000
3101102202012120000201
43300331333012000
531234422443211
61505054454544
7202120033456
oct36075770600
911382176021
104042781056
111795054276
12949b04454
134c5750052
142a4ccc9d6
15189dc60c1
hexf0f7f180

4042781056 has 64 divisors (see below), whose sum is σ = 8280286560. Its totient is φ = 1964953600.

The previous prime is 4042781053. The next prime is 4042781059. The reversal of 4042781056 is 6501872404.

It is an interprime number because it is at equal distance from previous prime (4042781053) and next prime (4042781059).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042781053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1630890 + ... + 1633366.

Almost surely, 24042781056 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 4042781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140143280).

4042781056 is an abundant number, since it is smaller than the sum of its proper divisors (4237505504).

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

4042781056 is a wasteful number, since it uses less digits than its factorization.

4042781056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 4042781056 is about 63582.8676295746. The cubic root of 4042781056 is about 1593.0402198083.

The spelling of 4042781056 in words is "four billion, forty-two million, seven hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 311 328 622 656 1244 1312 2477 2488 2624 4954 4976 5248 9908 9952 12751 19816 19904 25502 39632 39808 51004 79264 101557 102008 158528 203114 204016 317056 406228 408032 770347 812456 816064 1540694 1624912 1632128 3081388 3249824 6162776 6499648 12325552 12999296 24651104 31584227 49302208 63168454 98604416 126336908 252673816 505347632 1010695264 2021390528 4042781056