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4424548128 = 25371113411123
BaseRepresentation
bin1000001111011100…
…10011111100100000
3102102100120022222220
410013232103330200
533030141020003
62011013231040
7214434016140
oct40756237440
912370508886
104424548128
1119705a6550
12a35932480
13556879620
142dd8a8920
151ad687353
hex107b93f20

4424548128 has 384 divisors, whose sum is σ = 15988783104. Its totient is φ = 1034035200.

The previous prime is 4424548127. The next prime is 4424548133. The reversal of 4424548128 is 8218454244.

It is a happy number.

It is a super-2 number, since 2×44245481282 = 39153252273976608768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4424548128.

It is not an unprimeable number, because it can be changed into a prime (4424548127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3939375 + ... + 3940497.

It is an arithmetic number, because the mean of its divisors is an integer number (41637456).

Almost surely, 24424548128 is an apocalyptic number.

4424548128 is a gapful number since it is divisible by the number (48) 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 4424548128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994391552).

4424548128 is an abundant number, since it is smaller than the sum of its proper divisors (11564234976).

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

4424548128 is a wasteful number, since it uses less digits than its factorization.

4424548128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its digits is 327680, while the sum is 42.

The square root of 4424548128 is about 66517.2769135959. The cubic root of 4424548128 is about 1641.6842859003.

The spelling of 4424548128 in words is "four billion, four hundred twenty-four million, five hundred forty-eight thousand, one hundred twenty-eight".