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47216007 = 3319312969
BaseRepresentation
bin1011010000011…
…1010110000111
310021211211012000
42310013112013
544041403012
64404000343
71112220666
oct264072607
9107754160
1047216007
112471a0a3
12139900b3
139a22187
1463b0ddd
154229ddc
hex2d07587

47216007 has 32 divisors (see below), whose sum is σ = 76032000. Its totient is φ = 28848960.

The previous prime is 47215999. The next prime is 47216017. The reversal of 47216007 is 70061274.

47216007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 47216007 - 23 = 47215999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47216017) 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 31 ways as a sum of consecutive naturals, for example, 14419 + ... + 17387.

It is an arithmetic number, because the mean of its divisors is an integer number (2376000).

Almost surely, 247216007 is an apocalyptic number.

47216007 is a deficient number, since it is larger than the sum of its proper divisors (28815993).

47216007 is a wasteful number, since it uses less digits than its factorization.

47216007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 47216007 is about 6871.3904706398. The cubic root of 47216007 is about 361.4346225671.

The spelling of 47216007 in words is "forty-seven million, two hundred sixteen thousand, seven".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1767 2969 5301 8907 15903 26721 56411 80163 92039 169233 276117 507699 828351 1523097 1748741 2485053 5246223 15738669 47216007