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8480044000 = 255312716693
BaseRepresentation
bin1111110010111001…
…10011001111100000
3210212222200212110201
413321130303033200
5114331342402000
63521244434544
7420100120231
oct77134631740
923788625421
108480044000
11366184462a
121787b48a54
13a51b2bb1c
145a6347088
1534972096a
hex1f97333e0

8480044000 has 96 divisors (see below), whose sum is σ = 21000784896. Its totient is φ = 3365107200.

The previous prime is 8480043973. The next prime is 8480044009. The reversal of 8480044000 is 4400848.

It is a happy number.

It is a super-2 number, since 2×84800440002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8480044000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8480044009) 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 15 ways as a sum of consecutive naturals, for example, 499654 + ... + 516346.

It is an arithmetic number, because the mean of its divisors is an integer number (218758176).

Almost surely, 28480044000 is an apocalyptic number.

8480044000 is a gapful number since it is divisible by the number (80) 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 8480044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10500392448).

8480044000 is an abundant number, since it is smaller than the sum of its proper divisors (12520740896).

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

8480044000 is a wasteful number, since it uses less digits than its factorization.

8480044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16845 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 8480044000 is about 92087.1543701943. The cubic root of 8480044000 is about 2039.2291718009.

Adding to 8480044000 its reverse (4400848), we get a palindrome (8484444848).

The spelling of 8480044000 in words is "eight billion, four hundred eighty million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 500 508 635 800 1000 1016 1270 2000 2032 2540 3175 4000 4064 5080 6350 10160 12700 15875 16693 20320 25400 31750 33386 50800 63500 66772 83465 101600 127000 133544 166930 254000 267088 333860 417325 508000 534176 667720 834650 1335440 1669300 2086625 2120011 2670880 3338600 4173250 4240022 6677200 8346500 8480044 10600055 13354400 16693000 16960088 21200110 33386000 33920176 42400220 53000275 66772000 67840352 84800440 106000550 169600880 212001100 265001375 339201760 424002200 530002750 848004400 1060005500 1696008800 2120011000 4240022000 8480044000