Search a number
-
+
4244664424 = 23711135373137
BaseRepresentation
bin1111110100000000…
…0111000001101000
3101221211002021221111
43331000013001220
532143113230144
61541105520104
7210121023640
oct37500070150
911854067844
104244664424
111889003230
129a5643034
13528516670
142c3a41520
1519c9a3534
hexfd007068

4244664424 has 256 divisors, whose sum is σ = 11117191680. Its totient is φ = 1466449920.

The previous prime is 4244664401. The next prime is 4244664433.

It is a happy number.

4244664424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30982884 + ... + 30983020.

It is an arithmetic number, because the mean of its divisors is an integer number (43426530).

Almost surely, 24244664424 is an apocalyptic number.

4244664424 is a gapful number since it is divisible by the number (44) 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 4244664424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558595840).

4244664424 is an abundant number, since it is smaller than the sum of its proper divisors (6872527256).

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

4244664424 is a wasteful number, since it uses less digits than its factorization.

4244664424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The square root of 4244664424 is about 65151.0892004117. The cubic root of 4244664424 is about 1619.1277659927.

The spelling of 4244664424 in words is "four billion, two hundred forty-four million, six hundred sixty-four thousand, four hundred twenty-four".