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

bin | 1010000101111… |

… | …1111100000000 |

3 | 2221122220002000 |

4 | 2201133330000 |

5 | 41314223000 |

6 | 4111224000 |

7 | 1022564400 |

oct | 241377400 |

9 | 87586060 |

10 | 42336000 |

11 | 21996733 |

12 | 12218000 |

13 | 8a03bb5 |

14 | 58a0800 |

15 | 3ab4000 |

hex | 285ff00 |

42336000 has 432 divisors, whose sum is σ = 181752480. Its totient is φ = 9676800.

The previous prime is 42335989. The next prime is 42336011. The reversal of 42336000 is 63324.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (42335989) and next prime (42336011).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6047997 + ... + 6048003.

Almost surely, 2^{42336000} is an apocalyptic number.

42336000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90876240).

42336000 is an abundant number, since it is smaller than the sum of its proper divisors (139416480).

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

42336000 is an equidigital number, since it uses as much as digits as its factorization.

42336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42336000 is about 6506.6120216285. The cubic root of 42336000 is about 348.5271440138.

Adding to 42336000 its reverse (63324), we get a palindrome (42399324).

The spelling of 42336000 in words is "forty-two million, three hundred thirty-six thousand".

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