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

bin | 10100010000000000000 |

3 | 1020201020000 |

4 | 2202000000 |

5 | 132213202 |

6 | 22120000 |

7 | 5432361 |

oct | 2420000 |

9 | 1221200 |

10 | 663552 |

11 | 41359a |

12 | 280000 |

13 | 1a3046 |

14 | 133b68 |

15 | d191c |

hex | a2000 |

663552 has 70 divisors (see below), whose sum is σ = 1982343. Its totient is φ = 221184.

The previous prime is 663547. The next prime is 663557. The reversal of 663552 is 255366.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{4} ⋅ 2!.

It is an interprime number because it is at equal distance from previous prime (663547) and next prime (663557).

It can be written as a sum of positive squares in only one way, i.e., 331776 + 331776 = 576^2 + 576^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=576.

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

It is an Ulam number.

Its product of digits (5400) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (663557) by changing a digit.

663552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 221183 + 221184 + 221185.

663552 is a Friedman number, since it can be written as 6*(6*(5+5-2))^3, using all its digits and the basic arithmetic operations.

2^{663552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663552

663552 is an abundant number, since it is smaller than the sum of its proper divisors (1318791).

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

663552 is an frugal number, since it uses more digits than its factorization.

663552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 5 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 663552 is about 814.5870119269. The cubic root of 663552 is about 87.2217884559.

It can be divided in two parts, 66 and 3552, that multiplied together give a palindrome (234432).

The spelling of 663552 in words is "six hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 18432 20736 24576 27648 36864 41472 55296 73728 82944 110592 165888 221184 331776 663552

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