Search a number
-
+
4000050000 = 2433552963
BaseRepresentation
bin1110111001101011…
…1110101101010000
3101022202210121001000
43232122332231100
531143003100000
61500530542000
7201060602232
oct35632765520
911282717030
104000050000
111772a18851
12937737900
134b993b3bb
1429d368252
15186285000
hexee6beb50

4000050000 has 240 divisors, whose sum is σ = 14355956160. Its totient is φ = 1066320000.

The previous prime is 4000049957. The next prime is 4000050007. The reversal of 4000050000 is 500004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000050007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348519 + ... + 1351481.

It is an arithmetic number, because the mean of its divisors is an integer number (59816484).

Almost surely, 24000050000 is an apocalyptic number.

4000050000 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 4000050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177978080).

4000050000 is an abundant number, since it is smaller than the sum of its proper divisors (10355906160).

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

4000050000 is an equidigital number, since it uses as much as digits as its factorization.

4000050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 4000050000 is about 63245.9484868399. The cubic root of 4000050000 is about 1587.4076661117.

Adding to 4000050000 its reverse (500004), we get a palindrome (4000550004).

It can be divided in two parts, 40000 and 50000, that added together give a square (90000 = 3002).

The spelling of 4000050000 in words is "four billion, fifty thousand", and thus it is an eban number.