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

bin | 1000001110000000… |

… | …00011011000000000 |

3 | 102101111202020120102 |

4 | 10013000003120000 |

5 | 33014034443012 |

6 | 2005501301532 |

7 | 214225652003 |

oct | 40700033000 |

9 | 12344666512 |

10 | 4412421632 |

11 | 1964773753 |

12 | a318648a8 |

13 | 5541c1b98 |

14 | 2dc02d53a |

15 | 1ac58e2c2 |

hex | 107003600 |

4412421632 has 40 divisors (see below), whose sum is σ = 8875548000. Its totient is φ = 2191366144.

The previous prime is 4412421583. The next prime is 4412421647. The reversal of 4412421632 is 2361242144.

Adding to 4412421632 its reverse (2361242144), we get a palindrome (6773663776).

It can be divided in two parts, 44124 and 21632, that added together give a palindrome (65756).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4412421595 and 4412421604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47369 + ... + 105207.

It is an arithmetic number, because the mean of its divisors is an integer number (221888700).

Almost surely, 2^{4412421632} 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 4412421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437774000).

4412421632 is an abundant number, since it is smaller than the sum of its proper divisors (4463126368).

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

4412421632 is an equidigital number, since it uses as much as digits as its factorization.

4412421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58006 (or 57990 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 4412421632 is about 66426.0613915954. The cubic root of 4412421632 is about 1640.1831086447.

The spelling of 4412421632 in words is "four billion, four hundred twelve million, four hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1192 2384 4768 9536 19072 38144 57839 76288 115678 231356 462712 925424 1850848 3701696 7403392 8618011 14806784 17236022 29613568 34472044 68944088 137888176 275776352 551552704 1103105408 2206210816 4412421632

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