Base | Representation |
---|---|

bin | 111111111111… |

… | …1000000000000 |

3 | 2100010112102001 |

4 | 1333333000000 |

5 | 32042102321 |

6 | 3155033344 |

7 | 555113251 |

oct | 177770000 |

9 | 70115361 |

10 | 33550336 |

11 | 17a35956 |

12 | b29b854 |

13 | 6c48c91 |

14 | 4654b28 |

15 | 2e2ac91 |

hex | 1fff000 |

33550336 has 26 divisors (see below), whose sum is σ = 67100672. Its totient is φ = 16773120.

The previous prime is 33550331. The next prime is 33550337. The reversal of 33550336 is 63305533.

Adding to 33550336 its reverse (63305533), we get a palindrome (96855869).

33550336 is a nontrivial binomial coefficient, being equal to C(8192, 2).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×33550336^{2} = 2251250091425792, which contains 22 as substring.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33550331) 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 as a sum of consecutive naturals, namely, 1 + ... + 8191.

Almost surely, 2^{33550336} is an apocalyptic number.

33550336 is the 8191-st triangular number and also the 4096-th hexagonal number.

33550336 is the 2731-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33550336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33550336).

33550336 is a perfect number, since it is equal to the sum of its proper divisors.

33550336 is an frugal number, since it uses more digits than its factorization.

33550336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8193 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 28.

The square root of 33550336 is about 5792.2651872994. The cubic root of 33550336 is about 322.5266640614.

The spelling of 33550336 in words is "thirty-three million, five hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8191 16382 32764 65528 131056 262112 524224 1048448 2096896 4193792 8387584 16775168 33550336

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