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82478304 = 253395461
BaseRepresentation
bin1001110101010…
…00010011100000
312202012022222000
410322220103200
5132103301204
612103444000
72021024346
oct472502340
9182168860
1082478304
1142614197
1223756600
131411a43c
14ad4d996
157393039
hex4ea84e0

82478304 has 48 divisors (see below), whose sum is σ = 240564240. Its totient is φ = 27492480.

The previous prime is 82478303. The next prime is 82478309. The reversal of 82478304 is 40387428.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82478303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46867 + ... + 48594.

It is an arithmetic number, because the mean of its divisors is an integer number (5011755).

Almost surely, 282478304 is an apocalyptic number.

It is an amenable number.

82478304 is an abundant number, since it is smaller than the sum of its proper divisors (158085936).

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

82478304 is a wasteful number, since it uses less digits than its factorization.

82478304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95480 (or 95466 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 82478304 is about 9081.7566582683. The cubic root of 82478304 is about 435.2912199753.

The spelling of 82478304 in words is "eighty-two million, four hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 95461 190922 286383 381844 572766 763688 859149 1145532 1527376 1718298 2291064 2577447 3054752 3436596 4582128 5154894 6873192 9164256 10309788 13746384 20619576 27492768 41239152 82478304