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

bin | 1011111110000… |

… | …0001100100110 |

3 | 10111110111100110 |

4 | 2333200030212 |

5 | 100322421012 |

6 | 4551553450 |

7 | 1146463500 |

oct | 277401446 |

9 | 114414313 |

10 | 50201382 |

11 | 26379050 |

12 | 1498b886 |

13 | a528c7a |

14 | 694ad70 |

15 | 461973c |

hex | 2fe0326 |

50201382 has 144 divisors (see below), whose sum is σ = 137598912. Its totient is φ = 12065760.

The previous prime is 50201351. The next prime is 50201383. The reversal of 50201382 is 28310205.

50201382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50201383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1167453 + ... + 1167495.

It is an arithmetic number, because the mean of its divisors is an integer number (955548).

Almost surely, 2^{50201382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50201382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68799456).

50201382 is an abundant number, since it is smaller than the sum of its proper divisors (87397530).

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

50201382 is a wasteful number, since it uses less digits than its factorization.

50201382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 50201382 is about 7085.2933601934. The cubic root of 50201382 is about 368.8970857452.

Adding to 50201382 its reverse (28310205), we get a palindrome (78511587).

The spelling of 50201382 in words is "fifty million, two hundred one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 43 49 57 66 77 86 98 114 129 133 147 154 209 231 258 266 294 301 361 399 418 462 473 539 602 627 722 798 817 903 931 946 1078 1083 1254 1419 1463 1617 1634 1806 1862 2107 2166 2451 2527 2793 2838 2926 3234 3311 3971 4214 4389 4902 5054 5586 5719 6321 6622 7581 7942 8778 8987 9933 10241 11438 11913 12642 15162 15523 17157 17689 17974 19866 20482 23177 23826 26961 27797 30723 31046 34314 35378 40033 46354 46569 53067 53922 55594 61446 62909 69531 80066 83391 93138 106134 108661 120099 125818 139062 166782 170753 188727 194579 217322 240198 325983 341506 377454 389158 440363 512259 583737 651966 760627 880726 1024518 1167474 1195271 1321089 1521254 2281881 2390542 2642178 3585813 4563762 7171626 8366897 16733794 25100691 50201382

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