Search a number
-
+
5732329840 = 245712114783
BaseRepresentation
bin1010101011010110…
…00110100101110000
3112210111101112020121
411111223012211300
543214434023330
62344451420024
7262023666616
oct52553064560
915714345217
105732329840
112481829286
12113b8b4614
137047aa563
143c54536b6
152383b317a
hex155ac6970

5732329840 has 80 divisors (see below), whose sum is σ = 13582273536. Its totient is φ = 2249452800.

The previous prime is 5732329829. The next prime is 5732329873. The reversal of 5732329840 is 489232375.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196089 + ... + 1200871.

Almost surely, 25732329840 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 5732329840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791136768).

5732329840 is an abundant number, since it is smaller than the sum of its proper divisors (7849943696).

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

5732329840 is a wasteful number, since it uses less digits than its factorization.

5732329840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 5732329840 is about 75712.1512044137. The cubic root of 5732329840 is about 1789.6868921668.

The spelling of 5732329840 in words is "five billion, seven hundred thirty-two million, three hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 211 284 355 422 568 710 844 1055 1136 1420 1688 2110 2840 3376 4220 4783 5680 8440 9566 14981 16880 19132 23915 29962 38264 47830 59924 74905 76528 95660 119848 149810 191320 239696 299620 339593 382640 599240 679186 1009213 1198480 1358372 1697965 2018426 2716744 3395930 4036852 5046065 5433488 6791860 8073704 10092130 13583720 16147408 20184260 27167440 40368520 71654123 80737040 143308246 286616492 358270615 573232984 716541230 1146465968 1433082460 2866164920 5732329840