Search a number
-
+
4035052112 = 247132297351
BaseRepresentation
bin1111000010000010…
…0000001001010000
3101102012122212220112
43300200200021100
531230433131422
61504221100452
7201664243220
oct36040401120
911365585815
104035052112
111790755413
129473b7728
134c3c75100
142a3c7a080
1518939aee2
hexf0820250

4035052112 has 120 divisors (see below), whose sum is σ = 10009895040. Its totient is φ = 1541030400.

The previous prime is 4035052079. The next prime is 4035052117. The reversal of 4035052112 is 2112505304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4035052117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545237 + ... + 552587.

It is an arithmetic number, because the mean of its divisors is an integer number (83415792).

Almost surely, 24035052112 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 4035052112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004947520).

4035052112 is an abundant number, since it is smaller than the sum of its proper divisors (5974842928).

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

4035052112 is a wasteful number, since it uses less digits than its factorization.

4035052112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 4035052112 is about 63522.0600421617. The cubic root of 4035052112 is about 1592.0243866369.

Adding to 4035052112 its reverse (2112505304), we get a palindrome (6147557416).

The spelling of 4035052112 in words is "four billion, thirty-five million, fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 169 182 203 208 232 338 364 377 406 464 676 728 754 812 1183 1352 1456 1508 1624 2366 2639 2704 3016 3248 4732 4901 5278 6032 7351 9464 9802 10556 14702 18928 19604 21112 29404 34307 39208 42224 51457 58808 68614 78416 95563 102914 117616 137228 191126 205828 213179 274456 382252 411656 426358 548912 668941 764504 823312 852716 1242319 1337882 1492253 1529008 1705432 2484638 2675764 2771327 2984506 3410864 4969276 5351528 5542654 5969012 8696233 9938552 10703056 11085308 11938024 17392466 19399289 19877104 22170616 23876048 34784932 36027251 38798578 44341232 69569864 72054502 77597156 139139728 144109004 155194312 252190757 288218008 310388624 504381514 576436016 1008763028 2017526056 4035052112