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

bin | 111110000011111011100 |

3 | 10211022121120 |

4 | 13300133130 |

5 | 1010034003 |

6 | 111330540 |

7 | 23166642 |

oct | 7603734 |

9 | 3738546 |

10 | 2033628 |

11 | 1169993 |

12 | 820a50 |

13 | 56283c |

14 | 3ad192 |

15 | 2a2853 |

hex | 1f07dc |

2033628 has 24 divisors (see below), whose sum is σ = 4783632. Its totient is φ = 672384.

The previous prime is 2033611. The next prime is 2033639. The reversal of 2033628 is 8263302.

It is a tetranacci number.

It is a d-powerful number, because it can be written as **2**^{17} + **0** + **3**^{11} + **3**^{13} + **6** + **2**^{17} + **8** .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2033598 and 2033607.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1026 + ... + 2262.

It is an arithmetic number, because the mean of its divisors is an integer number (199318).

2^{2033628} is an apocalyptic number.

It is an amenable number.

2033628 is an abundant number, since it is smaller than the sum of its proper divisors (2750004).

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

2033628 is a wasteful number, since it uses less digits than its factorization.

2033628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2033628 is about 1426.0532949368. The cubic root of 2033628 is about 126.6943276002.

The spelling of 2033628 in words is "two million, thirty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 1237 1644 2474 3711 4948 7422 14844 169469 338938 508407 677876 1016814 2033628

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