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

bin | 101011001111010… |

… | …0010111101100100 |

3 | 10202010000201102211 |

4 | 1112132202331210 |

5 | 10432404114400 |

6 | 355544413204 |

7 | 50645001562 |

oct | 12636427544 |

9 | 3663021384 |

10 | 1450848100 |

11 | 684a69719 |

12 | 345a77204 |

13 | 1a1772c00 |

14 | da98aa32 |

15 | 8758adba |

hex | 567a2f64 |

1450848100 has 81 divisors (see below), whose sum is σ = 3420824673. Its totient is φ = 533869440.

The previous prime is 1450848089. The next prime is 1450848101. The reversal of 1450848100 is 18480541.

The square root of 1450848100 is 38090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 698333476 + 752514624 = 26426^2 + 27432^2 .

It is a super-2 number, since 2×1450848100^{2} = 4209920418547220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1450848101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4951554 + ... + 4951846.

Almost surely, 2^{1450848100} is an apocalyptic number.

1450848100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1450848100 is the 38090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450848100

1450848100 is an abundant number, since it is smaller than the sum of its proper divisors (1969976573).

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

1450848100 is a wasteful number, since it uses less digits than its factorization.

1450848100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The cubic root of 1450848100 is about 1132.0718249074.

The spelling of 1450848100 in words is "one billion, four hundred fifty million, eight hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 293 325 338 586 650 676 845 1172 1300 1465 1690 2930 3380 3809 4225 5860 7325 7618 8450 14650 15236 16900 19045 29300 38090 49517 76180 85849 95225 99034 171698 190450 198068 247585 343396 380900 429245 495170 858490 990340 1116037 1237925 1716980 2146225 2232074 2475850 4292450 4464148 4951700 5580185 8584900 11160370 14508481 22320740 27900925 29016962 55801850 58033924 72542405 111603700 145084810 290169620 362712025 725424050 1450848100

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