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47075112 = 233272331131
BaseRepresentation
bin1011001110010…
…0111100101000
310021120122220200
42303210330220
544022400422
64400552200
71111063140
oct263447450
9107518820
1047075112
1124633257
1213922660
1399a2cc6
146375920
1541ed2ac
hex2ce4f28

47075112 has 192 divisors, whose sum is σ = 158146560. Its totient is φ = 12355200.

The previous prime is 47075111. The next prime is 47075117. The reversal of 47075112 is 21157074.

47075112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (47075111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359287 + ... + 359417.

It is an arithmetic number, because the mean of its divisors is an integer number (823680).

Almost surely, 247075112 is an apocalyptic number.

47075112 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 47075112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79073280).

47075112 is an abundant number, since it is smaller than the sum of its proper divisors (111071448).

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

47075112 is a wasteful number, since it uses less digits than its factorization.

47075112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 47075112 is about 6861.1305190909. The cubic root of 47075112 is about 361.0747511863.

The spelling of 47075112 in words is "forty-seven million, seventy-five thousand, one hundred twelve".