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47216064 = 263719432
BaseRepresentation
bin1011010000011…
…1010111000000
310021211211021010
42310013113000
544041403224
64404000520
71112221110
oct264072700
9107754233
1047216064
112471a145
1213990140
139a221cc
1463b1040
154229e29
hex2d075c0

47216064 has 168 divisors, whose sum is σ = 153863040. Its totient is φ = 12483072.

The previous prime is 47216063. The next prime is 47216087. The reversal of 47216064 is 46061274.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47216063) 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 23 ways as a sum of consecutive naturals, for example, 1098027 + ... + 1098069.

Almost surely, 247216064 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 47216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76931520).

47216064 is an abundant number, since it is smaller than the sum of its proper divisors (106646976).

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

47216064 is a wasteful number, since it uses less digits than its factorization.

47216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47216064 is about 6871.3946182707. The cubic root of 47216064 is about 361.4347680104.

The spelling of 47216064 in words is "forty-seven million, two hundred sixteen thousand, sixty-four".