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485305506 = 236726793
BaseRepresentation
bin11100111011010…
…010110010100010
31020211012002000000
4130323102302202
51443214234011
6120053440430
715012012600
oct3473226242
91224162000
10485305506
11229a40234
12116640116
137970b82a
144864c870
152c914356
hex1ced2ca2

485305506 has 84 divisors (see below), whose sum is σ = 1269818982. Its totient is φ = 138638304.

The previous prime is 485305501. The next prime is 485305529. The reversal of 485305506 is 605503584.

It can be written as a sum of positive squares in only one way, i.e., 472410225 + 12895281 = 21735^2 + 3591^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (485305501) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 68046 + ... + 74838.

Almost surely, 2485305506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485305506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634909491).

485305506 is an abundant number, since it is smaller than the sum of its proper divisors (784513476).

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

485305506 is an equidigital number, since it uses as much as digits as its factorization.

485305506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 485305506 is about 22029.6506100301. The cubic root of 485305506 is about 785.8477357870.

The spelling of 485305506 in words is "four hundred eighty-five million, three hundred five thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 2646 3402 3969 5103 6793 7938 10206 11907 13586 20379 23814 35721 40758 47551 61137 71442 95102 122274 142653 183411 285306 332857 366822 427959 550233 665714 855918 998571 1100466 1283877 1650699 1997142 2567754 2995713 3301398 3851631 4952097 5991426 7703262 8987139 9904194 11554893 17974278 23109786 26961417 34664679 53922834 69329358 80884251 161768502 242652753 485305506