Search a number
-
+
48844404000 = 253353764609
BaseRepresentation
bin101101011111010110…
…100111010100100000
311200002001100210221000
4231133112213110200
51300013131412000
634234441032000
73346260404130
oct553726472440
9150061323830
1048844404000
1119795435737
129571a85600
1347b5524802
14251507cac0
15140d1cb000
hexb5f5a7520

48844404000 has 384 divisors, whose sum is σ = 203195865600. Its totient is φ = 11164262400.

The previous prime is 48844403981. The next prime is 48844404001. The reversal of 48844404000 is 40444884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (48844404001) 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 63 ways as a sum of consecutive naturals, for example, 723696 + ... + 788304.

It is an arithmetic number, because the mean of its divisors is an integer number (529155900).

Almost surely, 248844404000 is an apocalyptic number.

48844404000 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 48844404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101597932800).

48844404000 is an abundant number, since it is smaller than the sum of its proper divisors (154351461600).

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

48844404000 is a wasteful number, since it uses less digits than its factorization.

48844404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64650 (or 64626 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 48844404000 its reverse (40444884), we get a palindrome (48884848884).

The spelling of 48844404000 in words is "forty-eight billion, eight hundred forty-four million, four hundred four thousand".