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

bin | 10010000101101000000000 |

3 | 22220220022000 |

4 | 102011220000 |

5 | 2203213012 |

6 | 245344000 |

7 | 55206000 |

oct | 22055000 |

9 | 8826260 |

10 | 4741632 |

11 | 2749505 |

12 | 1708000 |

13 | ca02cc |

14 | 8b6000 |

15 | 639ddc |

hex | 485a00 |

4741632 has 160 divisors (see below), whose sum is σ = 16368000. Its totient is φ = 1354752.

The previous prime is 4741613. The next prime is 4741643. The reversal of 4741632 is 2361474.

The cubic root of 4741632 is 168.

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

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (4032) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4741596 and 4741605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677373 + ... + 677379.

It is an arithmetic number, because the mean of its divisors is an integer number (102300).

Almost surely, 2^{4741632} is an apocalyptic number.

4741632 is a gapful number since it is divisible by the number (42) 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 4741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184000).

4741632 is an abundant number, since it is smaller than the sum of its proper divisors (11626368).

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

4741632 is an frugal number, since it uses more digits than its factorization.

4741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 12 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4741632 is about 2177.5288746650.

Multiplying 4741632 by its sum of digits (27), we get a cube (128024064 = 504^{3}).

4741632 divided by its sum of digits (27) gives a cube (175616 = 56^{3}).

4741632 divided by its product of digits (4032) gives a triangular number (1176 = T_{48}).

The spelling of 4741632 in words is "four million, seven hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 343 378 384 392 432 441 448 504 512 576 588 672 686 756 768 784 864 882 896 1008 1029 1152 1176 1323 1344 1372 1512 1536 1568 1728 1764 1792 2016 2058 2304 2352 2646 2688 2744 3024 3087 3136 3456 3528 3584 4032 4116 4608 4704 5292 5376 5488 6048 6174 6272 6912 7056 8064 8232 9261 9408 10584 10752 10976 12096 12348 12544 13824 14112 16128 16464 18522 18816 21168 21952 24192 24696 25088 28224 32256 32928 37044 37632 42336 43904 48384 49392 56448 65856 74088 75264 84672 87808 96768 98784 112896 131712 148176 169344 175616 197568 225792 263424 296352 338688 395136 526848 592704 677376 790272 1185408 1580544 2370816 4741632

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