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500505012 = 2232721671699
BaseRepresentation
bin11101110101010…
…001100110110100
31021212210021210200
4131311101212310
52011112130022
6121355320500
715255136200
oct3565214664
91255707720
10500505012
11237581907
1211b750130
137c900c17
144a687b00
152de17bac
hex1dd519b4

500505012 has 108 divisors (see below), whose sum is σ = 1481407200. Its totient is φ = 142061472.

The previous prime is 500504989. The next prime is 500505017. The reversal of 500505012 is 210505005.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500505017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293739 + ... + 295437.

Almost surely, 2500505012 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 500505012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740703600).

500505012 is an abundant number, since it is smaller than the sum of its proper divisors (980902188).

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

500505012 is a wasteful number, since it uses less digits than its factorization.

500505012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 500505012 is about 22371.9693366498. The cubic root of 500505012 is about 793.9676549287.

The spelling of 500505012 in words is "five hundred million, five hundred five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 167 196 252 294 334 441 501 588 668 882 1002 1169 1503 1699 1764 2004 2338 3006 3398 3507 4676 5097 6012 6796 7014 8183 10194 10521 11893 14028 15291 16366 20388 21042 23786 24549 30582 32732 35679 42084 47572 49098 61164 71358 73647 83251 98196 107037 142716 147294 166502 214074 249753 283733 294588 333004 428148 499506 567466 749259 851199 999012 1134932 1498518 1702398 1986131 2553597 2997036 3404796 3972262 5107194 5958393 7944524 10214388 11916786 13902917 17875179 23833572 27805834 35750358 41708751 55611668 71500716 83417502 125126253 166835004 250252506 500505012