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82473840 = 24325114547
BaseRepresentation
bin1001110101001…
…11001101110000
312202012002211200
410322213031300
5132103130330
612103411200
72021005341
oct472471560
9182162750
1082473840
11426108a9
1223753b00
13141183b7
14ad4c0c8
157391a60
hex4ea7370

82473840 has 60 divisors (see below), whose sum is σ = 276977064. Its totient is φ = 21992832.

The previous prime is 82473829. The next prime is 82473887. The reversal of 82473840 is 4837428.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 82473795 and 82473804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56554 + ... + 57993.

Almost surely, 282473840 is an apocalyptic number.

82473840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82473840 is an abundant number, since it is smaller than the sum of its proper divisors (194503224).

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

82473840 is a wasteful number, since it uses less digits than its factorization.

82473840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114566 (or 114557 counting only the distinct ones).

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

The square root of 82473840 is about 9081.5108875121. The cubic root of 82473840 is about 435.2833666976.

The spelling of 82473840 in words is "eighty-two million, four hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 114547 229094 343641 458188 572735 687282 916376 1030923 1145470 1374564 1718205 1832752 2061846 2290940 2749128 3436410 4123692 4581880 5154615 5498256 6872820 8247384 9163760 10309230 13745640 16494768 20618460 27491280 41236920 82473840