Search a number
-
+
5338850940 = 223551576997
BaseRepresentation
bin1001111100011100…
…00110011001111100
3111210001222201200000
410332032012121330
541413221212230
62241434034300
7246205325043
oct47616063174
914701881600
105338850940
11229a707805
12104bb78990
136711101c7
143890a955a
15213a8bb60
hex13e38667c

5338850940 has 144 divisors (see below), whose sum is σ = 16903696992. Its totient is φ = 1414423296.

The previous prime is 5338850939. The next prime is 5338850977. The reversal of 5338850940 is 490588335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759522 + ... + 766518.

Almost surely, 25338850940 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 5338850940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451848496).

5338850940 is an abundant number, since it is smaller than the sum of its proper divisors (11564846052).

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

5338850940 is a wasteful number, since it uses less digits than its factorization.

5338850940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5338850940 is about 73067.4410390839. The cubic root of 5338850940 is about 1747.7632309909.

The spelling of 5338850940 in words is "five billion, three hundred thirty-eight million, eight hundred fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 157 162 180 243 270 314 324 405 471 486 540 628 785 810 942 972 1215 1413 1570 1620 1884 2355 2430 2826 3140 4239 4710 4860 5652 6997 7065 8478 9420 12717 13994 14130 16956 20991 21195 25434 27988 28260 34985 38151 41982 42390 50868 62973 63585 69970 76302 83964 84780 104955 125946 127170 139940 152604 188919 190755 209910 251892 254340 314865 377838 381510 419820 566757 629730 755676 763020 944595 1098529 1133514 1259460 1700271 1889190 2197058 2267028 2833785 3295587 3400542 3778380 4394116 5492645 5667570 6591174 6801084 8501355 9886761 10985290 11335140 13182348 16477935 17002710 19773522 21970580 29660283 32955870 34005420 39547044 49433805 59320566 65911740 88980849 98867610 118641132 148301415 177961698 197735220 266942547 296602830 355923396 444904245 533885094 593205660 889808490 1067770188 1334712735 1779616980 2669425470 5338850940