Search a number
-
+
5733346360 = 235746144417
BaseRepresentation
bin1010101011011101…
…11110110000111000
3112210120022011122111
411111232332300320
543220214040420
62344525302104
7262035432340
oct52556766070
915716264574
105733346360
112482362a85
121140104934
13704a75151
143c5639d20
1523851445a
hex155bbec38

5733346360 has 64 divisors (see below), whose sum is σ = 14775203520. Its totient is φ = 1961410560.

The previous prime is 5733346351. The next prime is 5733346361. The reversal of 5733346360 is 636433375.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5733346361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106872 + ... + 151288.

It is an arithmetic number, because the mean of its divisors is an integer number (230862555).

Almost surely, 25733346360 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 5733346360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387601760).

5733346360 is an abundant number, since it is smaller than the sum of its proper divisors (9041857160).

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

5733346360 is a wasteful number, since it uses less digits than its factorization.

5733346360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44896 (or 44892 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 40.

The square root of 5733346360 is about 75718.8639640083. The cubic root of 5733346360 is about 1789.7926749255.

The spelling of 5733346360 in words is "five billion, seven hundred thirty-three million, three hundred forty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 461 922 1844 2305 3227 3688 4610 6454 9220 12908 16135 18440 25816 32270 44417 64540 88834 129080 177668 222085 310919 355336 444170 621838 888340 1243676 1554595 1776680 2487352 3109190 6218380 12436760 20476237 40952474 81904948 102381185 143333659 163809896 204762370 286667318 409524740 573334636 716668295 819049480 1146669272 1433336590 2866673180 5733346360