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

bin | 1111100111001100000000 |

3 | 21200221002110 |

4 | 33213030000 |

5 | 2021431142 |

6 | 223415320 |

7 | 46533663 |

oct | 17471400 |

9 | 7627073 |

10 | 4092672 |

11 | 2345981 |

12 | 1454540 |

13 | b03acc |

14 | 7876da |

15 | 55c99c |

hex | 3e7300 |

4092672 has 54 divisors (see below), whose sum is σ = 11043732. Its totient is φ = 1345536.

The previous prime is 4092667. The next prime is 4092677. The reversal of 4092672 is 2762904.

It can be divided in two parts, 409 and 2672, that added together give a triangular number (3081 = T_{78}).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4092667) and next prime (4092677).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4092677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56028 + ... + 56100.

Almost surely, 2^{4092672} 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 4092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521866).

4092672 is an abundant number, since it is smaller than the sum of its proper divisors (6951060).

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

4092672 is an frugal number, since it uses more digits than its factorization.

4092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4092672 is about 2023.0353432404. The cubic root of 4092672 is about 159.9566549253.

The spelling of 4092672 in words is "four million, ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 584 768 876 1168 1752 2336 3504 4672 5329 7008 9344 10658 14016 15987 18688 21316 28032 31974 42632 56064 63948 85264 127896 170528 255792 341056 511584 682112 1023168 1364224 2046336 4092672

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