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

bin | 11101100111011… |

… | …100111010001000 |

3 | 1021121222011222200 |

4 | 131213130322020 |

5 | 2004200200123 |

6 | 121145520200 |

7 | 15212264331 |

oct | 3547347210 |

9 | 1247864880 |

10 | 496881288 |

11 | 2355272a2 |

12 | 11a4a3060 |

13 | 7bc326c7 |

14 | 49dc3288 |

15 | 2d94e143 |

hex | 1d9dce88 |

496881288 has 108 divisors (see below), whose sum is σ = 1402828245. Its totient is φ = 158880960.

The previous prime is 496881269. The next prime is 496881311. The reversal of 496881288 is 882188694.

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 can be written as a sum of positive squares in 2 ways, for example, as 400880484 + 96000804 = 20022^2 + 9798^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=15762.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6998293 + ... + 6998363.

Almost surely, 2^{496881288} 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 496881288

496881288 is an abundant number, since it is smaller than the sum of its proper divisors (905946957).

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

496881288 is a wasteful number, since it uses less digits than its factorization.

496881288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 113 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 496881288 is about 22290.8341701247. The cubic root of 496881288 is about 792.0468674438.

The spelling of 496881288 in words is "four hundred ninety-six million, eight hundred eighty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 111 142 148 213 222 284 296 333 426 444 568 639 666 852 888 1278 1332 1369 1704 2556 2627 2664 2738 4107 5041 5112 5254 5476 7881 8214 10082 10508 10952 12321 15123 15762 16428 20164 21016 23643 24642 30246 31524 32856 40328 45369 47286 49284 60492 63048 90738 94572 97199 98568 120984 181476 186517 189144 194398 291597 362952 373034 388796 559551 583194 746068 777592 874791 1119102 1166388 1492136 1678653 1749582 2238204 2332776 3357306 3499164 4476408 6714612 6901129 6998328 13429224 13802258 20703387 27604516 41406774 55209032 62110161 82813548 124220322 165627096 248440644 496881288

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