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

bin | 101110101111001… |

… | …0011001100001000 |

3 | 11001021220000220200 |

4 | 1131132103030020 |

5 | 11202431132013 |

6 | 415340252200 |

7 | 53601453441 |

oct | 13536231410 |

9 | 4037800820 |

10 | 1568224008 |

11 | 7352489aa |

12 | 379241060 |

13 | 1bcb8b600 |

14 | 10c3c22c8 |

15 | 92a23e73 |

hex | 5d793308 |

1568224008 has 108 divisors (see below), whose sum is σ = 4611965085. Its totient is φ = 481186368.

The previous prime is 1568223997. The next prime is 1568224013. The reversal of 1568224008 is 8004228651.

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 can be written as a sum of positive squares in 2 ways, for example, as 1340877924 + 227346084 = 36618^2 + 15078^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=28002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4368133 + ... + 4368491.

Almost surely, 2^{1568224008} is an apocalyptic number.

1568224008 is a gapful number since it is divisible by the number (18) 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 1568224008

1568224008 is an abundant number, since it is smaller than the sum of its proper divisors (3043741077).

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

1568224008 is a wasteful number, since it uses less digits than its factorization.

1568224008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1568224008 is about 39600.8081735714. The cubic root of 1568224008 is about 1161.8124678231.

The spelling of 1568224008 in words is "one billion, five hundred sixty-eight million, two hundred twenty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 359 468 507 676 718 936 1014 1077 1352 1436 1521 2028 2154 2872 3042 3231 4056 4308 4667 6084 6462 8616 9334 12168 12924 14001 18668 25848 28002 37336 42003 56004 60671 84006 112008 121342 128881 168012 182013 242684 257762 336024 364026 386643 485368 515524 546039 728052 773286 1031048 1092078 1159929 1456104 1546572 1675453 2184156 2319858 3093144 3350906 4368312 4639716 5026359 6701812 9279432 10052718 13403624 15079077 20105436 21780889 30158154 40210872 43561778 60316308 65342667 87123556 120632616 130685334 174247112 196028001 261370668 392056002 522741336 784112004 1568224008

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