Search a number
-
+
5400089856 = 2835712401
BaseRepresentation
bin1010000011101111…
…01101010100000000
3111221100012222200000
411001313231110000
542024410333411
62251502400000
7250551002130
oct50167552400
914840188600
105400089856
112321234487
121068590000
13680a02055
1439328aac0
15219136956
hex141ded500

5400089856 has 216 divisors, whose sum is σ = 18454572864. Its totient is φ = 1542758400.

The previous prime is 5400089839. The next prime is 5400089861. The reversal of 5400089856 is 6589800045.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429256 + ... + 441656.

Almost surely, 25400089856 is an apocalyptic number.

5400089856 is a gapful number since it is divisible by the number (56) 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 5400089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9227286432).

5400089856 is an abundant number, since it is smaller than the sum of its proper divisors (13054483008).

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

5400089856 is an equidigital number, since it uses as much as digits as its factorization.

5400089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12439 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5400089856 is about 73485.3036735918. The cubic root of 5400089856 is about 1754.4203740048.

The spelling of 5400089856 in words is "five billion, four hundred million, eighty-nine thousand, eight hundred fifty-six".