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4042908912 = 243791913093
BaseRepresentation
bin1111000011111001…
…1110010011110000
3101102202110001102010
43300332132103300
531234441041122
61505101322520
7202121105310
oct36076362360
911382401363
104042908912
111795131339
12949b66440
134c57962c3
142a4d23440
15189dede0c
hexf0f9e4f0

4042908912 has 80 divisors (see below), whose sum is σ = 11950108160. Its totient is φ = 1153771776.

The previous prime is 4042908911. The next prime is 4042908913. The reversal of 4042908912 is 2198092404.

It is an interprime number because it is at equal distance from previous prime (4042908911) and next prime (4042908913).

It is a super-2 number, since 2×40429089122 = 32690224941458047488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042908911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302238 + ... + 315330.

It is an arithmetic number, because the mean of its divisors is an integer number (149376352).

Almost surely, 24042908912 is an apocalyptic number.

4042908912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042908912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975054080).

4042908912 is an abundant number, since it is smaller than the sum of its proper divisors (7907199248).

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

4042908912 is a wasteful number, since it uses less digits than its factorization.

4042908912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4042908912 is about 63583.8730496971. The cubic root of 4042908912 is about 1593.0570133308.

The spelling of 4042908912 in words is "four billion, forty-two million, nine hundred eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 919 1838 2757 3676 5514 6433 7352 11028 12866 13093 14704 19299 22056 25732 26186 38598 39279 44112 51464 52372 77196 78558 91651 102928 104744 154392 157116 183302 209488 274953 308784 314232 366604 549906 628464 733208 1099812 1466416 2199624 4399248 12032467 24064934 36097401 48129868 72194802 84227269 96259736 144389604 168454538 192519472 252681807 288779208 336909076 505363614 577558416 673818152 1010727228 1347636304 2021454456 4042908912