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

bin | 11001000010100… |

… | …01011111001100 |

3 | 112122020121000120 |

4 | 30201101133030 |

5 | 412233031342 |

6 | 32502024540 |

7 | 5130246450 |

oct | 1441213714 |

9 | 478217016 |

10 | 210048972 |

11 | a86269a1 |

12 | 5a418150 |

13 | 34695243 |

14 | 1dc7a660 |

15 | 13691aec |

hex | c8517cc |

210048972 has 144 divisors (see below), whose sum is σ = 609450240. Its totient is φ = 55085184.

The previous prime is 210048967. The next prime is 210048973. The reversal of 210048972 is 279840012.

It is a happy number.

210048972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (210048973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288563 + ... + 1288725.

Almost surely, 2^{210048972} 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 210048972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304725120).

210048972 is an abundant number, since it is smaller than the sum of its proper divisors (399401268).

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

210048972 is a wasteful number, since it uses less digits than its factorization.

210048972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 210048972 is about 14493.0663422203. The cubic root of 210048972 is about 594.4383957718.

Adding to 210048972 its reverse (279840012), we get a palindrome (489888984).

The spelling of 210048972 in words is "two hundred ten million, forty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 58 69 84 87 92 116 138 161 163 174 203 276 322 326 348 406 483 489 529 609 644 652 667 812 966 978 1058 1141 1218 1334 1587 1932 1956 2001 2116 2282 2436 2668 3174 3423 3703 3749 4002 4564 4669 4727 6348 6846 7406 7498 8004 9338 9454 11109 11247 13692 14007 14181 14812 14996 15341 18676 18908 22218 22494 26243 28014 28362 30682 33089 44436 44988 46023 52486 56028 56724 61364 66178 78729 86227 92046 99267 104972 107387 108721 132356 157458 172454 184092 198534 214774 217442 258681 314916 322161 326163 344908 397068 429548 434884 517362 603589 644322 652326 761047 1034724 1207178 1288644 1304652 1522094 1810767 2283141 2414356 2500583 3044188 3621534 4566282 5001166 7243068 7501749 9132564 10002332 15003498 17504081 30006996 35008162 52512243 70016324 105024486 210048972

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