Search a number
-
+
500385336 = 233112374657
BaseRepresentation
bin11101110100110…
…100011000111000
31021212120012122020
4131310310120320
52011044312321
6121352554440
715254130243
oct3564643070
91255505566
10500385336
112374aaa00
1211b6b2a20
137c88b5c9
144a65625a
152dde24c6
hex1dd34638

500385336 has 96 divisors (see below), whose sum is σ = 1412491920. Its totient is φ = 147502080.

The previous prime is 500385331. The next prime is 500385341. The reversal of 500385336 is 633583005.

It is an interprime number because it is at equal distance from previous prime (500385331) and next prime (500385341).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 500385297 and 500385306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500385331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105120 + ... + 109776.

Almost surely, 2500385336 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 500385336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706245960).

500385336 is an abundant number, since it is smaller than the sum of its proper divisors (912106584).

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

500385336 is a wasteful number, since it uses less digits than its factorization.

500385336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 500385336 is about 22369.2944904393. The cubic root of 500385336 is about 793.9043678852.

The spelling of 500385336 in words is "five hundred million, three hundred eighty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4657 4884 8954 9314 9768 13431 13971 17908 18628 26862 27942 35816 37256 51227 53724 55884 102454 107448 111768 153681 172309 204908 307362 344618 409816 516927 563497 614724 689236 1033854 1126994 1229448 1378472 1690491 1895399 2067708 2253988 3380982 3790798 4135416 4507976 5686197 6761964 7581596 11372394 13523928 15163192 20849389 22744788 41698778 45489576 62548167 83397556 125096334 166795112 250192668 500385336