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

bin | 1110011010101001000 |

3 | 220000000000 |

4 | 1303111020 |

5 | 110104032 |

6 | 14043000 |

7 | 4005144 |

oct | 1632510 |

9 | 800000 |

10 | 472392 |

11 | 2a2a08 |

12 | 1a9460 |

13 | 13702b |

14 | c4224 |

15 | 94e7c |

hex | 73548 |

472392 has 44 divisors (see below), whose sum is σ = 1328595. Its totient is φ = 157464.

The previous prime is 472391. The next prime is 472393. The reversal of 472392 is 293274.

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 an interprime number because it is at equal distance from previous prime (472391) and next prime (472393).

It can be written as a sum of positive squares in only one way, i.e., 236196 + 236196 = 486^2 + 486^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=54.

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

Its product of digits (3024) is a multiple of the sum of its prime factors (36).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 472392.

It is not an unprimeable number, because it can be changed into a prime (472391) by changing a digit.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 157463 + 157464 + 157465.

472392 is a Friedman number, since it can be written as (7*(2+2)-4)*3^9, using all its digits and the basic arithmetic operations.

2^{472392} 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 472392

472392 is an abundant number, since it is smaller than the sum of its proper divisors (856203).

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

472392 is an frugal number, since it uses more digits than its factorization.

472392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 5 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 472392 is about 687.3077913133. The cubic root of 472392 is about 77.8814767966.

The spelling of 472392 in words is "four hundred seventy-two thousand, three hundred ninety-two".

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 236196 472392

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