Search a number
-
+
5485233600 = 2633527111797
BaseRepresentation
bin1010001101111001…
…00000010111000000
3112011021102201221000
411012330200113000
542213204433400
62304143332000
7252633500460
oct50674402700
915137381830
105485233600
1123652a9210
121090bb1000
13695543772
143a06d1ba0
15221854600
hex146f205c0

5485233600 has 1344 divisors, whose sum is σ = 26668293120. Its totient is φ = 1061683200.

The previous prime is 5485233587. The next prime is 5485233601. The reversal of 5485233600 is 63325845.

It is a happy number.

5485233600 is a `hidden beast` number, since 5 + 48 + 5 + 2 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5485233601) 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 191 ways as a sum of consecutive naturals, for example, 56548752 + ... + 56548848.

It is an arithmetic number, because the mean of its divisors is an integer number (19842480).

Almost surely, 25485233600 is an apocalyptic number.

5485233600 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 5485233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334146560).

5485233600 is an abundant number, since it is smaller than the sum of its proper divisors (21183059520).

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

5485233600 is a wasteful number, since it uses less digits than its factorization.

5485233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5485233600 is about 74062.3629112655. The cubic root of 5485233600 is about 1763.5930386108.

The spelling of 5485233600 in words is "five billion, four hundred eighty-five million, two hundred thirty-three thousand, six hundred".