Search a number
-
+
5480317440 = 293451319107
BaseRepresentation
bin1010001101010011…
…10000001000000000
3112010221011222020000
411012221300020000
542210430124230
62303450120000
7252543633603
oct50651601000
915127158200
105480317440
112362550674
12108b420000
13694511bb0
1439dbb233a
152211d2b60
hex146a70200

5480317440 has 800 divisors, whose sum is σ = 22459187520. Its totient is φ = 1266057216.

The previous prime is 5480317417. The next prime is 5480317441. The reversal of 5480317440 is 447130845.

5480317440 is a `hidden beast` number, since 5 + 480 + 3 + 174 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5480317395 and 5480317404.

It is not an unprimeable number, because it can be changed into a prime (5480317441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51217867 + ... + 51217973.

Almost surely, 25480317440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5480317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229593760).

5480317440 is an abundant number, since it is smaller than the sum of its proper divisors (16978870080).

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

5480317440 is a wasteful number, since it uses less digits than its factorization.

5480317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5480317440 is about 74029.1661441624. The cubic root of 5480317440 is about 1763.0660056298.

The spelling of 5480317440 in words is "five billion, four hundred eighty million, three hundred seventeen thousand, four hundred forty".