Search a number
-
+
4067012352 = 283132389199
BaseRepresentation
bin1111001001101001…
…1010111100000000
3101111102210122010010
43302122122330000
531312123343402
61511322104520
7202533014604
oct36232327400
911442718103
104067012352
1117a77a4637
1295604b140
134ca7853b0
142a81d9504
1518c0b0a6c
hexf269af00

4067012352 has 288 divisors, whose sum is σ = 12362112000. Its totient is φ = 1177583616.

The previous prime is 4067012347. The next prime is 4067012353. The reversal of 4067012352 is 2532107604.

It is a super-4 number, since 4×40670123524 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067012353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20437149 + ... + 20437347.

It is an arithmetic number, because the mean of its divisors is an integer number (42924000).

Almost surely, 24067012352 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 4067012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056000).

4067012352 is an abundant number, since it is smaller than the sum of its proper divisors (8295099648).

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

4067012352 is a wasteful number, since it uses less digits than its factorization.

4067012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 4067012352 is about 63773.1318973751. The cubic root of 4067012352 is about 1596.2166275260.

Adding to 4067012352 its reverse (2532107604), we get a palindrome (6599119956).

The spelling of 4067012352 in words is "four billion, sixty-seven million, twelve thousand, three hundred fifty-two".