Search a number
-
+
50461160 = 23529411061
BaseRepresentation
bin1100000001111…
…1100111101000
310111221200200212
43000133213220
5100404224120
65001320252
71151625041
oct300374750
9114850625
1050461160
1126536242
1214a96088
13a5ba299
1469b78c8
15466b6c5
hex301f9e8

50461160 has 64 divisors (see below), whose sum is σ = 120430800. Its totient is φ = 18995200.

The previous prime is 50461157. The next prime is 50461163. The reversal of 50461160 is 6116405.

50461160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50461157) and next prime (50461163).

It can be written as a sum of positive squares in 8 ways, for example, as 12687844 + 37773316 = 3562^2 + 6146^2 .

It is not an unprimeable number, because it can be changed into a prime (50461163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47030 + ... + 48090.

Almost surely, 250461160 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 50461160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60215400).

50461160 is an abundant number, since it is smaller than the sum of its proper divisors (69969640).

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

50461160 is a wasteful number, since it uses less digits than its factorization.

50461160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 50461160 is about 7103.6019032601. The cubic root of 50461160 is about 369.5323041186.

Adding to 50461160 its reverse (6116405), we get a palindrome (56577565).

The spelling of 50461160 in words is "fifty million, four hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1061 1160 1189 1640 2122 2378 4244 4756 5305 5945 8488 9512 10610 11890 21220 23780 30769 42440 43501 47560 61538 87002 123076 153845 174004 217505 246152 307690 348008 435010 615380 870020 1230760 1261529 1740040 2523058 5046116 6307645 10092232 12615290 25230580 50461160