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

bin | 1101101100110000100 |

3 | 211210202221 |

4 | 1231212010 |

5 | 103331100 |

6 | 13342124 |

7 | 3546514 |

oct | 1554604 |

9 | 753687 |

10 | 448900 |

11 | 2872a1 |

12 | 197944 |

13 | 12942a |

14 | b9844 |

15 | 8d01a |

hex | 6d984 |

448900 has 27 divisors (see below), whose sum is σ = 988869. Its totient is φ = 176880.

The previous prime is 448883. The next prime is 448907. The reversal of 448900 is 9844.

The square root of 448900 is 670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 287296 = 402^2 + 536^2 .

It is a super-2 number, since 2×448900^{2} = 403022420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (448907) by changing a digit.

448900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6667 + ... + 6733.

2^{448900} is an apocalyptic number.

448900 is the 670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448900

448900 is an abundant number, since it is smaller than the sum of its proper divisors (539969).

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

448900 is a wasteful number, since it uses less digits than its factorization.

448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 448900 is about 76.5684522653.

Multiplying 448900 by its sum of digits (25), we get a square (11222500 = 3350^{2}).

448900 divided by its sum of digits (25) gives a square (17956 = 134^{2}).

The spelling of 448900 in words is "four hundred forty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 4489 6700 8978 17956 22445 44890 89780 112225 224450 448900

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