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506005116 = 223137347887
BaseRepresentation
bin11110001010010…
…000011001111100
31022021010201112020
4132022100121330
52014014130431
6122113240140
715352654401
oct3612203174
91267121466
10506005116
1123a699151
12121563050
1380aa8516
144b2ba2a8
152e652696
hex1e29067c

506005116 has 48 divisors (see below), whose sum is σ = 1194068736. Its totient is φ = 166766464.

The previous prime is 506005111. The next prime is 506005127. The reversal of 506005116 is 611500605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506005111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570025 + ... + 570911.

It is an arithmetic number, because the mean of its divisors is an integer number (24876432).

Almost surely, 2506005116 is an apocalyptic number.

It is an amenable number.

506005116 is an abundant number, since it is smaller than the sum of its proper divisors (688063620).

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

506005116 is a wasteful number, since it uses less digits than its factorization.

506005116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 506005116 is about 22494.5574750872. The cubic root of 506005116 is about 796.8653984664.

The spelling of 506005116 in words is "five hundred six million, five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 137 274 347 411 548 694 822 887 1041 1388 1644 1774 2082 2661 3548 4164 5322 10644 47539 95078 121519 142617 190156 243038 285234 307789 364557 486076 570468 615578 729114 923367 1231156 1458228 1846734 3693468 42167093 84334186 126501279 168668372 253002558 506005116