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

bin | 100101101111… |

… | …111010000000 |

3 | 200121202010221 |

4 | 211233322000 |

5 | 10013124202 |

6 | 552032424 |

7 | 150053002 |

oct | 45577200 |

9 | 20552127 |

10 | 9895552 |

11 | 5649747 |

12 | 3392714 |

13 | 2086174 |

14 | 1458372 |

15 | d07037 |

hex | 96fe80 |

9895552 has 32 divisors (see below), whose sum is σ = 19942020. Its totient is φ = 4890624.

The previous prime is 9895517. The next prime is 9895559. The reversal of 9895552 is 2555989.

9895552 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 2 ways, for example, as 9884736 + 10816 = 3144^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 9895499 and 9895508.

It is not an unprimeable number, because it can be changed into a prime (9895559) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12018 + ... + 12814.

Almost surely, 2^{9895552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9895552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971010).

9895552 is an abundant number, since it is smaller than the sum of its proper divisors (10046468).

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

9895552 is an equidigital number, since it uses as much as digits as its factorization.

9895552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 896 counting only the distinct ones).

The product of its digits is 162000, while the sum is 43.

The square root of 9895552 is about 3145.7196314993. The cubic root of 9895552 is about 214.6907542552.

The spelling of 9895552 in words is "nine million, eight hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 797 1552 1594 3104 3188 6208 6376 12416 12752 25504 51008 77309 102016 154618 309236 618472 1236944 2473888 4947776 9895552

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