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

bin | 1001110010111… |

… | …1010001100100 |

3 | 2212022111021111 |

4 | 2130233101210 |

5 | 41004304400 |

6 | 4024354404 |

7 | 1006146244 |

oct | 234572144 |

9 | 85274244 |

10 | 41088100 |

11 | 21214109 |

12 | 11915a04 |

13 | 8687bb1 |

14 | 5657b24 |

15 | 39193ba |

hex | 272f464 |

41088100 has 27 divisors (see below), whose sum is σ = 89300491. Its totient is φ = 16409600.

The previous prime is 41088083. The next prime is 41088121. The reversal of 41088100 is 188014.

The square root of 41088100 is 6410.

It is a perfect power (a square), and thus also a powerful number.

41088100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4218916 + 36869184 = 2054^2 + 6072^2 .

It is a super-2 number, since 2×41088100^{2} = 3376463923220000, which contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 63780 + ... + 64420.

Almost surely, 2^{41088100} is an apocalyptic number.

41088100 is the 6410-th square number.

It is an amenable number.

41088100 is an abundant number, since it is smaller than the sum of its proper divisors (48212391).

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

41088100 is an equidigital number, since it uses as much as digits as its factorization.

41088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The cubic root of 41088100 is about 345.0685294099.

Multiplying 41088100 by its product of nonzero digits (256), we get a square (10518553600 = 102560^{2}).

The spelling of 41088100 in words is "forty-one million, eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 641 1282 2564 3205 6410 12820 16025 32050 64100 410881 821762 1643524 2054405 4108810 8217620 10272025 20544050 41088100

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