Search a number
-
+
4550311936 = 214172312
BaseRepresentation
bin1000011110011100…
…00100000000000000
3102202010012210111201
410033032010000000
533304334440221
62031304550544
7220522004362
oct41716040000
912663183451
104550311936
111a25594785
12a6ba82454
13576940b91
14312484d32
151b972a891
hex10f384000

4550311936 has 135 divisors (see below), whose sum is σ = 9989052717. Its totient is φ = 2072248320.

The previous prime is 4550311933. The next prime is 4550311991. The reversal of 4550311936 is 6391130554.

It is a happy number.

The square root of 4550311936 is 67456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3542630400 + 1007681536 = 59520^2 + 31744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4550311895 and 4550311904.

It is not an unprimeable number, because it can be changed into a prime (4550311933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146784241 + ... + 146784271.

Almost surely, 24550311936 is an apocalyptic number.

4550311936 is the 67456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4550311936

4550311936 is an abundant number, since it is smaller than the sum of its proper divisors (5438740781).

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

4550311936 is an frugal number, since it uses more digits than its factorization.

4550311936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The cubic root of 4550311936 is about 1657.0936632698.

The spelling of 4550311936 in words is "four billion, five hundred fifty million, three hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 289 496 512 527 544 578 961 992 1024 1054 1088 1156 1922 1984 2048 2108 2176 2312 3844 3968 4096 4216 4352 4624 7688 7936 8192 8432 8704 8959 9248 15376 15872 16337 16384 16864 17408 17918 18496 30752 31744 32674 33728 34816 35836 36992 61504 63488 65348 67456 69632 71672 73984 123008 126976 130696 134912 139264 143344 147968 246016 253952 261392 269824 277729 278528 286688 295936 492032 507904 522784 539648 555458 573376 591872 984064 1045568 1079296 1110916 1146752 1183744 1968128 2091136 2158592 2221832 2293504 2367488 3936256 4182272 4317184 4443664 4587008 4734976 7872512 8364544 8634368 8887328 9174016 15745024 16729088 17774656 18348032 33458176 35549312 36696064 66916352 71098624 73392128 133832704 142197248 146784256 267665408 284394496 568788992 1137577984 2275155968 4550311936