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

bin | 10011000100110100110100 |

3 | 100102001101201 |

4 | 103010310310 |

5 | 2240004000 |

6 | 255102244 |

7 | 60334501 |

oct | 23046464 |

9 | 10361351 |

10 | 5000500 |

11 | 2905a4a |

12 | 1811984 |

13 | 106109b |

14 | 9424a8 |

15 | 68b96a |

hex | 4c4d34 |

5000500 has 48 divisors (see below), whose sum is σ = 11151504. Its totient is φ = 1958400.

The previous prime is 5000491. The next prime is 5000503. The reversal of 5000500 is 50005.

It can be written as a sum of positive squares in 8 ways, for example, as 1267876 + 3732624 = 1126^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36432 + ... + 36568.

It is an arithmetic number, because the mean of its divisors is an integer number (232323).

Almost surely, 2^{5000500} is an apocalyptic number.

5000500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575752).

5000500 is an abundant number, since it is smaller than the sum of its proper divisors (6151004).

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

5000500 is a wasteful number, since it uses less digits than its factorization.

5000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 5000500 is about 2236.1797781037. The cubic root of 5000500 is about 171.0032943975.

Multiplying 5000500 by its sum of digits (10), we get a triangular number (50005000 = T_{10000}).

Adding to 5000500 its reverse (50005), we get a palindrome (5050505).

Multiplying 5000500 by its reverse (50005), we get a square (250050002500 = 500050^{2}).

5000500 divided by its reverse (50005) gives a square (100 = 10^{2}).

The spelling of 5000500 in words is "five million, five hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 73 100 125 137 146 250 274 292 365 500 548 685 730 1370 1460 1825 2740 3425 3650 6850 7300 9125 10001 13700 17125 18250 20002 34250 36500 40004 50005 68500 100010 200020 250025 500050 1000100 1250125 2500250 5000500

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