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484074144 = 2534186757
BaseRepresentation
bin11100110110100…
…110001010100000
31020201212111220000
4130312212022200
51442410333034
6120011220000
714665363611
oct3466461240
91221774800
10484074144
1122927a084
12116147600
137939a208
144840bc08
152c76e599
hex1cda62a0

484074144 has 60 divisors (see below), whose sum is σ = 1423656234. Its totient is φ = 161357184.

The previous prime is 484074121. The next prime is 484074161. The reversal of 484074144 is 441470484.

It can be written as a sum of positive squares in only one way, i.e., 413715600 + 70358544 = 20340^2 + 8388^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 484074099 and 484074108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 90787 + ... + 95970.

Almost surely, 2484074144 is an apocalyptic number.

It is an amenable number.

484074144 is an abundant number, since it is smaller than the sum of its proper divisors (939582090).

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

484074144 is a wasteful number, since it uses less digits than its factorization.

484074144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186779 (or 186762 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 484074144 is about 22001.6850263792. The cubic root of 484074144 is about 785.1825310187.

The spelling of 484074144 in words is "four hundred eighty-four million, seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 186757 373514 560271 747028 1120542 1494056 1680813 2241084 2988112 3361626 4482168 5042439 5976224 6723252 8964336 10084878 13446504 15127317 17928672 20169756 26893008 30254634 40339512 53786016 60509268 80679024 121018536 161358048 242037072 484074144