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505011006 = 232431673907
BaseRepresentation
bin11110000110011…
…101101100111110
31022012021012212100
4132012131230332
52013240323011
6122040045530
715341344203
oct3606355476
91265235770
10505011006
1123a07a275
121211638a6
138081aba6
144b0dbcaa
152e507d56
hex1e19db3e

505011006 has 48 divisors (see below), whose sum is σ = 1126629504. Its totient is φ = 163395792.

The previous prime is 505010983. The next prime is 505011011. The reversal of 505011006 is 600110505.

It is a super-2 number, since 2×5050110062 = 510072232362264072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 505011006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127305 + ... + 131211.

It is an arithmetic number, because the mean of its divisors is an integer number (23471448).

Almost surely, 2505011006 is an apocalyptic number.

505011006 is an abundant number, since it is smaller than the sum of its proper divisors (621618498).

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

505011006 is a wasteful number, since it uses less digits than its factorization.

505011006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 505011006 is about 22472.4499331960. The cubic root of 505011006 is about 796.3432092786.

The spelling of 505011006 in words is "five hundred five million, eleven thousand, six".

Divisors: 1 2 3 6 9 18 43 86 129 167 258 334 387 501 774 1002 1503 3006 3907 7181 7814 11721 14362 21543 23442 35163 43086 64629 70326 129258 168001 336002 504003 652469 1008006 1304938 1512009 1957407 3024018 3914814 5872221 11744442 28056167 56112334 84168501 168337002 252505503 505011006