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

bin | 1011101011011… |

… | …0010001101100 |

3 | 10102011111102211 |

4 | 2322312101230 |

5 | 100014343400 |

6 | 4505500204 |

7 | 1133222020 |

oct | 272662154 |

9 | 112144384 |

10 | 48981100 |

11 | 25715253 |

12 | 144a1664 |

13 | a1bc6cc |

14 | 6710380 |

15 | 4477dba |

hex | 2eb646c |

48981100 has 72 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 16653120.

The previous prime is 48981089. The next prime is 48981133. The reversal of 48981100 is 118984.

48981100 = 392^{2} + 393^{2} + ... + 591^{2}.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116691 + ... + 117109.

It is an arithmetic number, because the mean of its divisors is an integer number (1701280).

Almost surely, 2^{48981100} 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 48981100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

48981100 is an abundant number, since it is smaller than the sum of its proper divisors (73511060).

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

48981100 is a wasteful number, since it uses less digits than its factorization.

48981100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 48981100 is about 6998.6498697963. The cubic root of 48981100 is about 365.8835167357.

The spelling of 48981100 in words is "forty-eight million, nine hundred eighty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 167 175 334 350 419 668 700 835 838 1169 1670 1676 2095 2338 2933 3340 4175 4190 4676 5845 5866 8350 8380 10475 11690 11732 14665 16700 20950 23380 29225 29330 41900 58450 58660 69973 73325 116900 139946 146650 279892 293300 349865 489811 699730 979622 1399460 1749325 1959244 2449055 3498650 4898110 6997300 9796220 12245275 24490550 48981100

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