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482729904 = 243210133191
BaseRepresentation
bin11100110001011…
…101111110110000
31020122100012221100
4130301131332300
51442034324104
6115522324400
714651064546
oct3461357660
91218305840
10482729904
11228541138
121157b9700
13790193c7
144817bd96
152c5a6139
hex1cc5dfb0

482729904 has 60 divisors (see below), whose sum is σ = 1364390352. Its totient is φ = 159312000.

The previous prime is 482729893. The next prime is 482729953. The reversal of 482729904 is 409927284.

It is a self number, because there is not a number n which added to its sum of digits gives 482729904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2052 + ... + 31139.

Almost surely, 2482729904 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 482729904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682195176).

482729904 is an abundant number, since it is smaller than the sum of its proper divisors (881660448).

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

482729904 is a wasteful number, since it uses less digits than its factorization.

482729904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33306 (or 33297 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 482729904 is about 21971.1152197607. The cubic root of 482729904 is about 784.4550582539.

The spelling of 482729904 in words is "four hundred eighty-two million, seven hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 33191 66382 99573 132764 199146 265528 298719 398292 531056 597438 796584 1194876 1593168 2389752 3352291 4779504 6704582 10056873 13409164 20113746 26818328 30170619 40227492 53636656 60341238 80454984 120682476 160909968 241364952 482729904