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8480000000 = 2115753
BaseRepresentation
bin1111110010111001…
…01000100000000000
3210212222121122010002
413321130220200000
5114331340000000
63521243455132
7420066545033
oct77134504000
923788548102
108480000000
11366181456a
121787b274a8
13a51b14aa4
145a633501a
153497128d5
hex1f9728800

8480000000 has 192 divisors, whose sum is σ = 21594671280. Its totient is φ = 3328000000.

The previous prime is 8479999999. The next prime is 8480000003. The reversal of 8480000000 is 848.

It can be written as a sum of positive squares in 8 ways, for example, as 7174767616 + 1305232384 = 84704^2 + 36128^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (8480000003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 159999974 + ... + 160000026.

Almost surely, 28480000000 is an apocalyptic number.

8480000000 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 8480000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10797335640).

8480000000 is an abundant number, since it is smaller than the sum of its proper divisors (13114671280).

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

8480000000 is an frugal number, since it uses more digits than its factorization.

8480000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8480000000 is about 92086.9154657707. The cubic root of 8480000000 is about 2039.2256448444.

Adding to 8480000000 its reverse (848), we get a palindrome (8480000848).

8480000000 divided by its reverse (848) gives a 7-th power (10000000 = 107).

The spelling of 8480000000 in words is "eight billion, four hundred eighty million", and thus it is an aban number.