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

bin | 1101101011100… |

… | …0111100010001 |

3 | 10222222020102100 |

4 | 3122320330101 |

5 | 104142140000 |

6 | 5405511013 |

7 | 1264504311 |

oct | 332707421 |

9 | 128866370 |

10 | 57380625 |

11 | 2a431a05 |

12 | 17272469 |

13 | bb70943 |

14 | 7899441 |

15 | 5086a00 |

hex | 36b8f11 |

57380625 has 45 divisors (see below), whose sum is σ = 104606359. Its totient is φ = 30300000.

The previous prime is 57380611. The next prime is 57380633. The reversal of 57380625 is 52608375.

Multipling 57380625 by its sum of digits (36), we get a square (2065702500 = 45450^{2}).

The square root of 57380625 is 7575.

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

57380625 is a *`hidden beast`* number, since 573 + 80 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 12383361 + 44997264 = 3519^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 57380625 - 2^{23} = 48992017 is a prime.

It is a super-2 number, since 2×57380625^{2} = 6585072250781250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 57380625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 568075 + ... + 568175.

Almost surely, 2^{57380625} is an apocalyptic number.

57380625 is the 7575-th square number.

57380625 is the 3788-th centered octagonal number.

It is an amenable number.

57380625 is a deficient number, since it is larger than the sum of its proper divisors (47225734).

57380625 is an equidigital number, since it uses as much as digits as its factorization.

57380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 57380625 is about 385.7048425084.

The spelling of 57380625 in words is "fifty-seven million, three hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 125 225 303 375 505 625 909 1125 1515 1875 2525 4545 5625 7575 10201 12625 22725 30603 37875 51005 63125 91809 113625 153015 189375 255025 459045 568125 765075 1275125 2295225 3825375 6375625 11476125 19126875 57380625

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