Search a number
-
+
5479440000 = 2735417279
BaseRepresentation
bin1010001101001100…
…11001111010000000
3112010212112101121020
411012212121322000
542210214040000
62303415225440
7252533320506
oct50646317200
915125471536
105479440000
112362001411
12108b078280
136942956b8
1439da24676
152210acba0
hex146999e80

5479440000 has 480 divisors, whose sum is σ = 19564987200. Its totient is φ = 1357824000.

The previous prime is 5479439951. The next prime is 5479440011. The reversal of 5479440000 is 449745.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69359961 + ... + 69360039.

It is an arithmetic number, because the mean of its divisors is an integer number (40760390).

Almost surely, 25479440000 is an apocalyptic number.

5479440000 is a gapful number since it is divisible by the number (50) 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 5479440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9782493600).

5479440000 is an abundant number, since it is smaller than the sum of its proper divisors (14085547200).

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

5479440000 is an equidigital number, since it uses as much as digits as its factorization.

5479440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5479440000 is about 74023.2395940626. The cubic root of 5479440000 is about 1762.9719072361.

Adding to 5479440000 its reverse (449745), we get a palindrome (5479889745).

The spelling of 5479440000 in words is "five billion, four hundred seventy-nine million, four hundred forty thousand".