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485687466 = 2321121731289
BaseRepresentation
bin11100111100110…
…000000010101010
31020211220110221200
4130330300002222
51443313444331
6120105545030
715015163305
oct3474600252
91224813850
10485687466
1122a181200
121167a5176
1379813644
144870bb3c
152c98c5e6
hex1cf300aa

485687466 has 72 divisors (see below), whose sum is σ = 1164274020. Its totient is φ = 146213760.

The previous prime is 485687413. The next prime is 485687479. The reversal of 485687466 is 664786584.

485687466 is a `hidden beast` number, since 4 + 8 + 568 + 74 + 6 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 409212441 + 76475025 = 20229^2 + 8745^2 .

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 35 ways as a sum of consecutive naturals, for example, 376150 + ... + 377438.

Almost surely, 2485687466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485687466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582137010).

485687466 is an abundant number, since it is smaller than the sum of its proper divisors (678586554).

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

485687466 is a wasteful number, since it uses less digits than its factorization.

485687466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1478 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 485687466 is about 22038.3181300207. The cubic root of 485687466 is about 786.0538490388.

The spelling of 485687466 in words is "four hundred eighty-five million, six hundred eighty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 173 198 242 346 363 519 726 1038 1089 1289 1557 1903 2178 2578 3114 3806 3867 5709 7734 11418 11601 14179 17127 20933 23202 28358 34254 41866 42537 62799 85074 125598 127611 155969 188397 222997 255222 311938 376794 445994 467907 668991 935814 1337982 1403721 2006973 2452967 2807442 4013946 4905934 7358901 14717802 22076703 26982637 44153406 53965274 80947911 161895822 242843733 485687466