Search a number
-
+
500401125 = 3353759359
BaseRepresentation
bin11101110100111…
…000001111100101
31021212121000022000
4131310320033211
52011100314000
6121353155513
715254224260
oct3564701745
91255530260
10500401125
11237510854
1211b6bbb99
137c895853
144a65bcd7
152dde7000
hex1dd383e5

500401125 has 128 divisors (see below), whose sum is σ = 1078272000. Its totient is φ = 224251200.

The previous prime is 500401093. The next prime is 500401127. The reversal of 500401125 is 521104005.

500401125 is a `hidden beast` number, since 500 + 40 + 1 + 125 = 666.

It is not a de Polignac number, because 500401125 - 25 = 500401093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 500401098 and 500401107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500401127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1393696 + ... + 1394054.

It is an arithmetic number, because the mean of its divisors is an integer number (8424000).

Almost surely, 2500401125 is an apocalyptic number.

It is an amenable number.

500401125 is an abundant number, since it is smaller than the sum of its proper divisors (577870875).

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

500401125 is a wasteful number, since it uses less digits than its factorization.

500401125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 500401125 is about 22369.6474044630. The cubic root of 500401125 is about 793.9127179995.

The spelling of 500401125 in words is "five hundred million, four hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 59 63 75 105 125 135 175 177 189 225 295 315 359 375 413 525 531 675 875 885 945 1077 1125 1239 1475 1575 1593 1795 2065 2513 2625 2655 3231 3375 3717 4425 4725 5385 6195 7375 7539 7875 7965 8975 9693 10325 11151 12565 13275 16155 18585 21181 22125 22617 23625 26925 30975 37695 39825 44875 48465 51625 55755 62825 63543 66375 67851 80775 92925 105905 113085 134625 148267 154875 188475 190629 199125 242325 278775 314125 317715 339255 403875 444801 464625 529525 565425 571887 741335 942375 953145 1211625 1334403 1393875 1588575 1696275 2224005 2647625 2827125 2859435 3706675 4003209 4765725 6672015 7942875 8481375 11120025 14297175 18533375 20016045 23828625 33360075 55600125 71485875 100080225 166800375 500401125