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

bin | 11100001000111… |

… | …110000100011000 |

3 | 1012220100211212200 |

4 | 130020332010120 |

5 | 1431330112212 |

6 | 114503010200 |

7 | 14461620000 |

oct | 3410760430 |

9 | 1186324780 |

10 | 472113432 |

11 | 22254a89a |

12 | 112139960 |

13 | 76a7007b |

14 | 469b7000 |

15 | 2b6aa6dc |

hex | 1c23e118 |

472113432 has 120 divisors (see below), whose sum is σ = 1492204740. Its totient is φ = 134840160.

The previous prime is 472113431. The next prime is 472113437. The reversal of 472113432 is 234311274.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 472113396 and 472113405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472113431) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 171507 + ... + 174237.

Almost surely, 2^{472113432} is an apocalyptic number.

472113432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746102370).

472113432 is an abundant number, since it is smaller than the sum of its proper divisors (1020091308).

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

472113432 is a wasteful number, since it uses less digits than its factorization.

With its successor (472113433) it forms an eRAP, since the sums of their prime factors are consecutive (2771 and 2772).

472113432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2743 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 472113432 is about 21728.1713910766. The cubic root of 472113432 is about 778.6616497000.

The spelling of 472113432 in words is "four hundred seventy-two million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2401 2731 2744 3087 3528 4116 4802 5462 6174 7203 8193 8232 9604 10924 12348 14406 16386 19117 19208 21609 21848 24579 24696 28812 32772 38234 43218 49158 57351 57624 65544 76468 86436 98316 114702 133819 152936 172053 172872 196632 229404 267638 344106 401457 458808 535276 688212 802914 936733 1070552 1204371 1376424 1605828 1873466 2408742 2810199 3211656 3746932 4817484 5620398 6557131 7493864 8430597 9634968 11240796 13114262 16861194 19671393 22481592 26228524 33722388 39342786 52457048 59014179 67444776 78685572 118028358 157371144 236056716 472113432

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