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

bin | 1011011010011011001000 |

3 | 12122000000000 |

4 | 23122123020 |

5 | 1231214231 |

6 | 144043000 |

7 | 34300332 |

oct | 13323310 |

9 | 5560000 |

10 | 2991816 |

11 | 1763883 |

12 | 1003460 |

13 | 809a09 |

14 | 57c452 |

15 | 3e16e6 |

hex | 2da6c8 |

2991816 has 80 divisors (see below), whose sum is σ = 8857200. Its totient is φ = 944784.

The previous prime is 2991803. The next prime is 2991853. The reversal of 2991816 is 6181992.

2991816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2991816 = 18^{3} + 144^{3} = 81^{3} + 135^{3}.

Its product of digits (7776) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157455 + ... + 157473.

It is an arithmetic number, because the mean of its divisors is an integer number (110715).

2^{2991816} 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 2991816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428600).

2991816 is an abundant number, since it is smaller than the sum of its proper divisors (5865384).

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

2991816 is an frugal number, since it uses more digits than its factorization.

2991816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 24 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2991816 is about 1729.6866768291. The cubic root of 2991816 is about 144.0936890310.

The spelling of 2991816 in words is "two million, nine hundred ninety-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2187 2916 3078 4104 4374 4617 5832 6156 6561 8748 9234 12312 13122 13851 17496 18468 19683 26244 27702 36936 39366 41553 52488 55404 78732 83106 110808 124659 157464 166212 249318 332424 373977 498636 747954 997272 1495908 2991816

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