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

bin | 100110000000… |

… | …000000000000 |

3 | 200202002120102 |

4 | 212000000000 |

5 | 10022231342 |

6 | 553301532 |

7 | 150446123 |

oct | 46000000 |

9 | 20662512 |

10 | 9961472 |

11 | 5694224 |

12 | 34048a8 |

13 | 20aa181 |

14 | 14743ba |

15 | d1b832 |

hex | 980000 |

9961472 has 40 divisors (see below), whose sum is σ = 20971500. Its totient is φ = 4718592.

The previous prime is 9961463. The next prime is 9961487. The reversal of 9961472 is 2741699.

It is an ABA number since it can be written as A⋅B^{A}, here for A=19, B=2.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (27216) is a multiple of the sum of its prime divisors (21).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 524279 + ... + 524297.

Almost surely, 2^{9961472} 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 9961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485750).

9961472 is an abundant number, since it is smaller than the sum of its proper divisors (11010028).

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

9961472 is an frugal number, since it uses more digits than its factorization.

9961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 9961472 is about 3156.1799695201. The cubic root of 9961472 is about 215.1664260351.

Multiplying 9961472 by its sum of digits (38), we get a square (378535936 = 19456^{2}).

9961472 divided by its sum of digits (38) gives a 18-th power (262144 = 2^{18}).

The spelling of 9961472 in words is "nine million, nine hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4096 4864 8192 9728 16384 19456 32768 38912 65536 77824 131072 155648 262144 311296 524288 622592 1245184 2490368 4980736 9961472

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