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481484300 = 2252112319031
BaseRepresentation
bin11100101100101…
…101111000001100
31020112222221021212
4130230231320030
51441224444200
6115435513552
714634356213
oct3454557014
91215887255
10481484300
11227870310
121152b88b8
13789a146b
1447d3607a
152c40c035
hex1cb2de0c

481484300 has 72 divisors (see below), whose sum is σ = 1189423872. Its totient is φ = 167464000.

The previous prime is 481484261. The next prime is 481484317. The reversal of 481484300 is 3484184.

Added to its reverse (3484184) it gives a square (484968484 = 220222).

It is a super-2 number, since 2×4814843002 = 463654262292980000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15785 + ... + 34815.

It is an arithmetic number, because the mean of its divisors is an integer number (16519776).

Almost surely, 2481484300 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 481484300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594711936).

481484300 is an abundant number, since it is smaller than the sum of its proper divisors (707939572).

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

481484300 is a wasteful number, since it uses less digits than its factorization.

481484300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19079 (or 19072 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 481484300 is about 21942.7505112736. The cubic root of 481484300 is about 783.7797586097.

Adding to 481484300 its reverse (3484184), we get a square (484968484 = 220222).

The spelling of 481484300 in words is "four hundred eighty-one million, four hundred eighty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 19031 25300 38062 76124 95155 190310 209341 380620 418682 437713 475775 837364 875426 951550 1046705 1750852 1903100 2093410 2188565 4186820 4377130 4814843 5233525 8754260 9629686 10467050 10942825 19259372 20934100 21885650 24074215 43771300 48148430 96296860 120371075 240742150 481484300