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506077866 = 232727114821
BaseRepresentation
bin11110001010100…
…010001010101010
31022021021102022200
4132022202022222
52014023442431
6122115001030
715353406450
oct3612421252
91267242280
10506077866
1123a738878
12121599176
1380b02678
144b2d89d0
152e668ee6
hex1e2a22aa

506077866 has 48 divisors (see below), whose sum is σ = 1257854208. Its totient is φ = 144050400.

The previous prime is 506077853. The next prime is 506077889. The reversal of 506077866 is 668770605.

It is a super-2 number, since 2×5060778662 = 512229612910227912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26736 + ... + 41556.

It is an arithmetic number, because the mean of its divisors is an integer number (26205296).

Almost surely, 2506077866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506077866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628927104).

506077866 is an abundant number, since it is smaller than the sum of its proper divisors (751776342).

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

506077866 is a wasteful number, since it uses less digits than its factorization.

506077866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15107 (or 15104 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 506077866 is about 22496.1744747857. The cubic root of 506077866 is about 796.9035859457.

The spelling of 506077866 in words is "five hundred six million, seventy-seven thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 271 542 813 1626 1897 2439 3794 4878 5691 11382 14821 17073 29642 34146 44463 88926 103747 133389 207494 266778 311241 622482 933723 1867446 4016491 8032982 12049473 24098946 28115437 36148419 56230874 72296838 84346311 168692622 253038933 506077866