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485280 = 25325337
BaseRepresentation
bin1110110011110100000
3220122200100
41312132200
5111012110
614222400
74060545
oct1663640
9818610
10485280
11301664
121b4a00
1313cb63
14c8bcc
1598bc0
hex767a0

485280 has 72 divisors (see below), whose sum is σ = 1660932. Its totient is φ = 129024.

The previous prime is 485263. The next prime is 485311. The reversal of 485280 is 82584.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 17424 = 684^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 485280.

It is an unprimeable number.

485280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272 + ... + 1608.

2485280 is an apocalyptic number.

485280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830466).

485280 is an abundant number, since it is smaller than the sum of its proper divisors (1175652).

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

485280 is a wasteful number, since it uses less digits than its factorization.

485280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 485280 is about 696.6204131376. The cubic root of 485280 is about 78.5833968388.

The spelling of 485280 in words is "four hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 337 360 480 674 720 1011 1348 1440 1685 2022 2696 3033 3370 4044 5055 5392 6066 6740 8088 10110 10784 12132 13480 15165 16176 20220 24264 26960 30330 32352 40440 48528 53920 60660 80880 97056 121320 161760 242640 485280