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

bin | 10011100111110100010000 |

3 | 100200100000000 |

4 | 103213310100 |

5 | 2304100244 |

6 | 302130000 |

7 | 61502400 |

oct | 23476420 |

9 | 10610000 |

10 | 5143824 |

11 | 29a36a4 |

12 | 1880900 |

13 | 10b13aa |

14 | 97c800 |

15 | 6b9169 |

hex | 4e7d10 |

5143824 has 135 divisors (see below), whose sum is σ = 17389047. Its totient is φ = 1469664.

The previous prime is 5143807. The next prime is 5143837. The reversal of 5143824 is 4283415.

The square root of 5143824 is 2268.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3840) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 734829 + ... + 734835.

Almost surely, 2^{5143824} is an apocalyptic number.

5143824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5143824 is the 2268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5143824

5143824 is an abundant number, since it is smaller than the sum of its proper divisors (12245223).

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

5143824 is an frugal number, since it uses more digits than its factorization.

5143824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The cubic root of 5143824 is about 172.6216910698.

The spelling of 5143824 in words is "five million, one hundred forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 243 252 294 324 336 378 392 432 441 486 504 567 588 648 729 756 784 882 972 1008 1134 1176 1296 1323 1458 1512 1701 1764 1944 2187 2268 2352 2646 2916 3024 3402 3528 3888 3969 4374 4536 5103 5292 5832 6561 6804 7056 7938 8748 9072 10206 10584 11664 11907 13122 13608 15309 15876 17496 20412 21168 23814 26244 27216 30618 31752 34992 35721 40824 45927 47628 52488 61236 63504 71442 81648 91854 95256 104976 107163 122472 142884 183708 190512 214326 244944 285768 321489 367416 428652 571536 642978 734832 857304 1285956 1714608 2571912 5143824

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