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482560 = 2851329
BaseRepresentation
bin1110101110100000000
3220111221121
41311310000
5110420220
614202024
74046611
oct1656400
9814847
10482560
112aa611
121b3314
1313b850
14c7c08
1597eaa
hex75d00

482560 has 72 divisors (see below), whose sum is σ = 1287720. Its totient is φ = 172032.

The previous prime is 482539. The next prime is 482569. The reversal of 482560 is 65284.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 473344 = 96^2 + 688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16626 + ... + 16654.

It is an arithmetic number, because the mean of its divisors is an integer number (17885).

2482560 is an apocalyptic number.

482560 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 482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643860).

482560 is an abundant number, since it is smaller than the sum of its proper divisors (805160).

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

482560 is a wasteful number, since it uses less digits than its factorization.

482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 482560 is about 694.6653870750. The cubic root of 482560 is about 78.4363013896.

The spelling of 482560 in words is "four hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 256 260 290 320 377 416 464 520 580 640 754 832 928 1040 1160 1280 1508 1664 1856 1885 2080 2320 3016 3328 3712 3770 4160 4640 6032 7424 7540 8320 9280 12064 15080 16640 18560 24128 30160 37120 48256 60320 96512 120640 241280 482560