Search a number
-
+
5459785452 = 22331131314683
BaseRepresentation
bin1010001010110110…
…11011011011101100
3112002111112211122000
411011123123123230
542140201113302
62301434052300
7252204260562
oct50533333354
915074484560
105459785452
1123519a7690
12108457a090
136901a35a4
1439b189a32
1521e4c931c
hex1456db6ec

5459785452 has 96 divisors (see below), whose sum is σ = 15492207360. Its totient is φ = 1649082240.

The previous prime is 5459785447. The next prime is 5459785561. The reversal of 5459785452 is 2545879545.

5459785452 is a `hidden beast` number, since 5 + 4 + 5 + 97 + 8 + 545 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364503 + ... + 379185.

It is an arithmetic number, because the mean of its divisors is an integer number (161377160).

Almost surely, 25459785452 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 5459785452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7746103680).

5459785452 is an abundant number, since it is smaller than the sum of its proper divisors (10032421908).

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

5459785452 is a wasteful number, since it uses less digits than its factorization.

5459785452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 15012 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The square root of 5459785452 is about 73890.3610222605. The cubic root of 5459785452 is about 1760.8614769336.

The spelling of 5459785452 in words is "five billion, four hundred fifty-nine million, seven hundred eighty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 313 396 594 626 939 1188 1252 1878 2817 3443 3756 5634 6886 8451 10329 11268 13772 14683 16902 20658 29366 30987 33804 41316 44049 58732 61974 88098 92961 123948 132147 161513 176196 185922 264294 323026 371844 396441 484539 528588 646052 792882 969078 1453617 1585764 1938156 2907234 4360851 4595779 5814468 8721702 9191558 13787337 17443404 18383116 27574674 41362011 50553569 55149348 82724022 101107138 124086033 151660707 165448044 202214276 248172066 303321414 454982121 496344132 606642828 909964242 1364946363 1819928484 2729892726 5459785452