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

bin | 101001010010… |

… | …1010000000000 |

3 | 1111201212000000 |

4 | 1102211100000 |

5 | 21020222014 |

6 | 2052000000 |

7 | 352002552 |

oct | 122452000 |

9 | 44655000 |

10 | 21648384 |

11 | 1124682a |

12 | 7300000 |

13 | 463c7c4 |

14 | 2c374d2 |

15 | 1d79509 |

hex | 14a5400 |

21648384 has 154 divisors (see below), whose sum is σ = 67121130. Its totient is φ = 6967296.

The previous prime is 21648383. The next prime is 21648401. The reversal of 21648384 is 48384612.

21648384 is a *`hidden beast`* number, since 2 + 1 + 648 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 2985984 = 4320^2 + 1728^2 .

It is a super-2 number, since 2×21648384^{2} = 937305059622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21648383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746482 + ... + 746510.

Almost surely, 2^{21648384} is an apocalyptic number.

21648384 is a gapful number since it is divisible by the number (24) 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 21648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33560565).

21648384 is an abundant number, since it is smaller than the sum of its proper divisors (45472746).

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

21648384 is an frugal number, since it uses more digits than its factorization.

21648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 21648384 is about 4652.7823933642. The cubic root of 21648384 is about 278.7031181252.

The spelling of 21648384 in words is "twenty-one million, six hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 243 256 261 288 324 348 384 432 464 486 512 522 576 648 696 729 768 783 864 928 972 1024 1044 1152 1296 1392 1458 1536 1566 1728 1856 1944 2088 2304 2349 2592 2784 2916 3072 3132 3456 3712 3888 4176 4608 4698 5184 5568 5832 6264 6912 7047 7424 7776 8352 9216 9396 10368 11136 11664 12528 13824 14094 14848 15552 16704 18792 20736 21141 22272 23328 25056 27648 28188 29696 31104 33408 37584 41472 42282 44544 46656 50112 56376 62208 66816 75168 82944 84564 89088 93312 100224 112752 124416 133632 150336 169128 186624 200448 225504 248832 267264 300672 338256 373248 400896 451008 601344 676512 746496 801792 902016 1202688 1353024 1804032 2405376 2706048 3608064 5412096 7216128 10824192 21648384

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