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

bin | 11100111101101… |

… | …11000000000001 |

3 | 121221012012001001 |

4 | 32132313000001 |

5 | 444200030000 |

6 | 40035412001 |

7 | 6010134112 |

oct | 1636670001 |

9 | 557165031 |

10 | 242970625 |

11 | 115172477 |

12 | 69454001 |

13 | 3b451001 |

14 | 243aa209 |

15 | 164e646a |

hex | e7b7001 |

242970625 has 20 divisors (see below), whose sum is σ = 308641828. Its totient is φ = 191160000.

The previous prime is 242970619. The next prime is 242970649. The reversal of 242970625 is 526079242.

It is a happy number.

It is a Cunningham number, because it is equal to 624^{3}+1.

It can be written as a sum of positive squares in 10 ways, for example, as 209931121 + 33039504 = 14489^2 + 5748^2 .

It is not a de Polignac number, because 242970625 - 2^{3} = 242970617 is a prime.

It is a super-2 number, since 2×242970625^{2} = 118069449225781250, 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 19 ways as a sum of consecutive naturals, for example, 34939 + ... + 41311.

Almost surely, 2^{242970625} is an apocalyptic number.

242970625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242970625 is a deficient number, since it is larger than the sum of its proper divisors (65671203).

242970625 is an frugal number, since it uses more digits than its factorization.

242970625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 242970625 is about 15587.5150360794. The cubic root of 242970625 is about 624.0000008561. Note that the first 6 decimals are identical.

The spelling of 242970625 in words is "two hundred forty-two million, nine hundred seventy thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 305 625 1525 6373 7625 31865 38125 159325 388753 796625 1943765 3983125 9718825 48594125 242970625

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