Search a number
-
+
4139305800 = 2335271951871
BaseRepresentation
bin1111011010111000…
…1100101101001000
3101200110211112002020
43312232030231020
531434130241200
61522423404440
7204401342640
oct36656145510
911613745066
104139305800
111834591793
129762b3720
1350c747a96
142b3a57520
151935e0ea0
hexf6b8cb48

4139305800 has 192 divisors, whose sum is σ = 15437107200. Its totient is φ = 896313600.

The previous prime is 4139305789. The next prime is 4139305801. The reversal of 4139305800 is 85039314.

It is a super-3 number, since 3×41393058003 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4139305801) 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 47 ways as a sum of consecutive naturals, for example, 53865 + ... + 105735.

It is an arithmetic number, because the mean of its divisors is an integer number (80401600).

Almost surely, 24139305800 is an apocalyptic number.

4139305800 is a gapful number since it is divisible by the number (40) 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 4139305800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718553600).

4139305800 is an abundant number, since it is smaller than the sum of its proper divisors (11297801400).

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

4139305800 is a wasteful number, since it uses less digits than its factorization.

4139305800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51916 (or 51907 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4139305800 is about 64337.4370021063. The cubic root of 4139305800 is about 1605.6190195781.

The spelling of 4139305800 in words is "four billion, one hundred thirty-nine million, three hundred five thousand, eight hundred".