Search a number
-
+
2032042112 = 27139181631
BaseRepresentation
bin111100100011110…
…1000000010000000
312020121122102201222
41321013220002000
513130200321422
6533345414212
7101233034012
oct17107500200
95217572658
102032042112
11953042351
1248863a368
13264cb59a9
14153c3a1b2
15bd5e1842
hex791e8080

2032042112 has 64 divisors (see below), whose sum is σ = 4106356800. Its totient is φ = 1001548800.

The previous prime is 2032042097. The next prime is 2032042121. The reversal of 2032042112 is 2112402302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3220037 + ... + 3220667.

It is an arithmetic number, because the mean of its divisors is an integer number (64161825).

Almost surely, 22032042112 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 2032042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053178400).

2032042112 is an abundant number, since it is smaller than the sum of its proper divisors (2074314688).

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

2032042112 is a wasteful number, since it uses less digits than its factorization.

2032042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2032042112 is about 45078.1777803850. The cubic root of 2032042112 is about 1266.6138560931.

Adding to 2032042112 its reverse (2112402302), we get a palindrome (4144444414).

The spelling of 2032042112 in words is "two billion, thirty-two million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 139 181 278 362 556 631 724 1112 1262 1448 2224 2524 2896 4448 5048 5792 8896 10096 11584 17792 20192 23168 25159 40384 50318 80768 87709 100636 114211 175418 201272 228422 350836 402544 456844 701672 805088 913688 1403344 1610176 1827376 2806688 3220352 3654752 5613376 7309504 11226752 14619008 15875329 31750658 63501316 127002632 254005264 508010528 1016021056 2032042112