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

bin | 10111010010111… |

… | …111000100100100 |

3 | 1000020110101101100 |

4 | 113102333010210 |

5 | 1300024243100 |

6 | 102441200100 |

7 | 12454123554 |

oct | 2722770444 |

9 | 1006411340 |

10 | 390852900 |

11 | 190698629 |

12 | aaa90030 |

13 | 62c8b009 |

14 | 39ca3164 |

15 | 244a8400 |

hex | 174bf124 |

390852900 has 81 divisors (see below), whose sum is σ = 1226968561. Its totient is φ = 104069280.

The previous prime is 390852887. The next prime is 390852907. The reversal of 390852900 is 9258093.

Multipling 390852900 by its sum of digits (36), we get a square (14070704400 = 118620^{2}).

390852900 divided by its sum of digits (36) gives a square (10857025 = 3295^{2}).

The square root of 390852900 is 19770.

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

It can be written as a sum of positive squares in only one way, i.e., 140707044 + 250145856 = 11862^2 + 15816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390852907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 592771 + ... + 593429.

Almost surely, 2^{390852900} is an apocalyptic number.

390852900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

390852900 is the 19770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390852900

390852900 is an abundant number, since it is smaller than the sum of its proper divisors (836115661).

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

390852900 is a wasteful number, since it uses less digits than its factorization.

390852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 390852900 is about 731.1465687590.

The spelling of 390852900 in words is "three hundred ninety million, eight hundred fifty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 659 900 1318 1977 2636 3295 3954 5931 6590 7908 9885 11862 13180 16475 19770 23724 29655 32950 39540 49425 59310 65900 98850 118620 148275 197700 296550 434281 593100 868562 1302843 1737124 2171405 2605686 3908529 4342810 5211372 6514215 7817058 8685620 10857025 13028430 15634116 19542645 21714050 26056860 32571075 39085290 43428100 65142150 78170580 97713225 130284300 195426450 390852900

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