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500480 = 2851723
BaseRepresentation
bin1111010001100000000
3221102112022
41322030000
5112003410
614421012
74153061
oct1721400
9842468
10500480
11312022
12201768
13146a56
14d0568
159d455
hex7a300

500480 has 72 divisors (see below), whose sum is σ = 1324512. Its totient is φ = 180224.

The previous prime is 500473. The next prime is 500483. The reversal of 500480 is 84005.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (500483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21749 + ... + 21771.

It is an arithmetic number, because the mean of its divisors is an integer number (18396).

2500480 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 500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662256).

500480 is an abundant number, since it is smaller than the sum of its proper divisors (824032).

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

500480 is a wasteful number, since it uses less digits than its factorization.

500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 500480 is about 707.4461110219. The cubic root of 500480 is about 79.3954428921.

Adding to 500480 its reverse (84005), we get a palindrome (584485).

The spelling of 500480 in words is "five hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 128 136 160 170 184 230 256 272 320 340 368 391 460 544 640 680 736 782 920 1088 1280 1360 1472 1564 1840 1955 2176 2720 2944 3128 3680 3910 4352 5440 5888 6256 7360 7820 10880 12512 14720 15640 21760 25024 29440 31280 50048 62560 100096 125120 250240 500480