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

bin | 1110101001111… |

… | …1110010000000 |

3 | 11021200002120000 |

4 | 3222133302000 |

5 | 111214044442 |

6 | 10033320000 |

7 | 1344334200 |

oct | 352376200 |

9 | 137602500 |

10 | 61471872 |

11 | 31776800 |

12 | 18706000 |

13 | c973bb7 |

14 | 8242400 |

15 | 55e3d4c |

hex | 3a9fc80 |

61471872 has 360 divisors, whose sum is σ = 233911755. Its totient is φ = 15966720.

The previous prime is 61471831. The next prime is 61471873. The reversal of 61471872 is 27817416.

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.

61471872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 30735936 = 5544^2 + 5544^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=5544.

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

It is not an unprimeable number, because it can be changed into a prime (61471873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5588347 + ... + 5588357.

Almost surely, 2^{61471872} 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 61471872

61471872 is an abundant number, since it is smaller than the sum of its proper divisors (172439883).

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

61471872 is a wasteful number, since it uses less digits than its factorization.

61471872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 61471872 is about 7840.3999897964. The cubic root of 61471872 is about 394.6621519652.

The spelling of 61471872 in words is "sixty-one million, four hundred seventy-one thousand, eight hundred seventy-two".

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