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43282000272 = 243721729163229
BaseRepresentation
bin101000010011110011…
…101110100110010000
311010201101201102111010
4220103303232212100
51202120143002042
631514455250520
73061365634500
oct502363564620
9133641642433
1043282000272
11173a0619465
12847b079a40
13410a001a64
14214841da00
1511d4bd159c
hexa13cee990

43282000272 has 480 divisors, whose sum is σ = 143966678400. Its totient is φ = 11119804416.

The previous prime is 43282000271. The next prime is 43282000297. The reversal of 43282000272 is 27200028234.

It is not an unprimeable number, because it can be changed into a prime (43282000271) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 189004254 + ... + 189004482.

It is an arithmetic number, because the mean of its divisors is an integer number (299930580).

Almost surely, 243282000272 is an apocalyptic number.

43282000272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43282000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71983339200).

43282000272 is an abundant number, since it is smaller than the sum of its proper divisors (100684678128).

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

43282000272 is a wasteful number, since it uses less digits than its factorization.

43282000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 43282000272 in words is "forty-three billion, two hundred eighty-two million, two hundred seventy-two", and thus it is an aban number.