Search a number
-
+
5480816848 = 241339766373
BaseRepresentation
bin1010001101010111…
…01010000011010000
3112010222010100021121
411012223222003100
542211042114343
62303504532024
7252551113603
oct50653520320
915128110247
105480816848
112362861901
12108b621014
136946582c0
1439dca233a
15221280aed
hex146aea0d0

5480816848 has 40 divisors (see below), whose sum is σ = 11464913768. Its totient is φ = 2523197952.

The previous prime is 5480816797. The next prime is 5480816849. The reversal of 5480816848 is 8486180845.

It can be written as a sum of positive squares in 4 ways, for example, as 1783203984 + 3697612864 = 42228^2 + 60808^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 5480816795 and 5480816804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5480816849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49390 + ... + 115762.

Almost surely, 25480816848 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 5480816848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732456884).

5480816848 is an abundant number, since it is smaller than the sum of its proper divisors (5984096920).

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

5480816848 is a wasteful number, since it uses less digits than its factorization.

5480816848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66791 (or 66785 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 52.

The square root of 5480816848 is about 74032.5391162562. The cubic root of 5480816848 is about 1763.1195586422.

The spelling of 5480816848 in words is "five billion, four hundred eighty million, eight hundred sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 397 794 1588 3176 5161 6352 10322 20644 41288 66373 82576 132746 265492 530984 862849 1061968 1725698 3451396 6902792 13805584 26350081 52700162 105400324 210800648 342551053 421601296 685102106 1370204212 2740408424 5480816848