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484484 = 22711313
BaseRepresentation
bin1110110010010000100
3220121120212
41312102010
5111000414
614214552
74055330
oct1662204
9817525
10484484
11301000
121b4458
1313c6a0
14c87c0
159883e
hex76484

484484 has 48 divisors (see below), whose sum is σ = 1147776. Its totient is φ = 174240.

The previous prime is 484459. The next prime is 484487.

It is a happy number.

484484 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 484484.

It is not an unprimeable number, because it can be changed into a prime (484487) by changing a digit.

484484 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 15 ways as a sum of consecutive naturals, for example, 37262 + ... + 37274.

It is an arithmetic number, because the mean of its divisors is an integer number (23912).

2484484 is an apocalyptic number.

484484 is a gapful number since it is divisible by the number (44) 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 484484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573888).

484484 is an abundant number, since it is smaller than the sum of its proper divisors (663292).

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

484484 is a wasteful number, since it uses less digits than its factorization.

484484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 484484 is about 696.0488488605. The cubic root of 484484 is about 78.5404068011.

The spelling of 484484 in words is "four hundred eighty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1331 1573 1694 2002 2662 3146 3388 4004 5324 6292 9317 11011 17303 18634 22022 34606 37268 44044 69212 121121 242242 484484