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

bin | 10000001101111110001000 |

3 | 22000000000000 |

4 | 100031332020 |

5 | 2042022103 |

6 | 231043000 |

7 | 51065061 |

oct | 20157610 |

9 | 8000000 |

10 | 4251528 |

11 | 2444266 |

12 | 1510460 |

13 | b5b1c8 |

14 | 7c9568 |

15 | 58eaa3 |

hex | 40df88 |

4251528 has 52 divisors (see below), whose sum is σ = 11957415. Its totient is φ = 1417176.

The previous prime is 4251523. The next prime is 4251553. The reversal of 4251528 is 8251524.

It is a happy number.

The cubic root of 4251528 is 162.

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

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 2125764 = 1458^2 + 1458^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=1458.

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

Its product of digits (3200) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4251523) by changing a digit.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 1417175 + 1417176 + 1417177.

Almost surely, 2^{4251528} 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 4251528

4251528 is an abundant number, since it is smaller than the sum of its proper divisors (7705887).

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

4251528 is an frugal number, since it uses more digits than its factorization.

4251528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 5 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 4251528 is about 2061.9233739400.

Multiplying 4251528 by its sum of digits (27), we get a cube (114791256 = 486^{3}).

4251528 divided by its sum of digits (27) gives a cube (157464 = 54^{3}).

Multiplying 4251528 by its product of digits (3200), we get a square (13604889600 = 116640^{2}).

It can be divided in two parts, 425 and 1528, that added together give a triangular number (1953 = T_{62}).

The spelling of 4251528 in words is "four million, two hundred fifty-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 39366 52488 59049 78732 118098 157464 177147 236196 354294 472392 531441 708588 1062882 1417176 2125764 4251528

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