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4484944080 = 243551741331
BaseRepresentation
bin1000010110101001…
…01101000011010000
3102120120012202200000
410023110231003100
533141121202310
62021011530000
7216066252501
oct41324550320
912516182600
104484944080
1119a16a7961
12a51bb9900
13566234886
1430790aba8
151b3b174c0
hex10b52d0d0

4484944080 has 480 divisors, whose sum is σ = 16993162368. Its totient is φ = 1094860800.

The previous prime is 4484944031. The next prime is 4484944109. The reversal of 4484944080 is 804494844.

4484944080 is a `hidden beast` number, since 4 + 48 + 494 + 40 + 80 = 666.

It is a super-2 number, since 2×44849440802 = 40229446801454092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13549515 + ... + 13549845.

Almost surely, 24484944080 is an apocalyptic number.

4484944080 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 4484944080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496581184).

4484944080 is an abundant number, since it is smaller than the sum of its proper divisors (12508218288).

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

4484944080 is a wasteful number, since it uses less digits than its factorization.

4484944080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4484944080 is about 66969.7251002272. The cubic root of 4484944080 is about 1649.1203244845.

The spelling of 4484944080 in words is "four billion, four hundred eighty-four million, nine hundred forty-four thousand, eighty".