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485316 = 2232131761
BaseRepresentation
bin1110110011111000100
3220122201200
41312133010
5111012231
614222500
74060626
oct1663704
9818650
10485316
11301697
121b4a30
1313cb90
14c8c16
1598be6
hex767c4

485316 has 72 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 138240.

The previous prime is 485311. The next prime is 485347. The reversal of 485316 is 613584.

It can be written as a sum of positive squares in 4 ways, for example, as 900 + 484416 = 30^2 + 696^2 .

Its product of digits (2880) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 485316.

It is not an unprimeable number, because it can be changed into a prime (485311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7926 + ... + 7986.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2485316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

485316 is an abundant number, since it is smaller than the sum of its proper divisors (936468).

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

485316 is a wasteful number, since it uses less digits than its factorization.

485316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 485316 is about 696.6462516945. The cubic root of 485316 is about 78.5853400004.

The spelling of 485316 in words is "four hundred eighty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 61 68 78 102 117 122 153 156 183 204 221 234 244 306 366 442 468 549 612 663 732 793 884 1037 1098 1326 1586 1989 2074 2196 2379 2652 3111 3172 3978 4148 4758 6222 7137 7956 9333 9516 12444 13481 14274 18666 26962 28548 37332 40443 53924 80886 121329 161772 242658 485316