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

bin | 110011010000… |

… | …1000000000000 |

3 | 1212120100000000 |

4 | 1212201000000 |

5 | 23334430411 |

6 | 2400000000 |

7 | 444265302 |

oct | 146410000 |

9 | 55510000 |

10 | 26873856 |

11 | 141957a9 |

12 | 9000000 |

13 | 574c0b9 |

14 | 37d7972 |

15 | 255c956 |

hex | 19a1000 |

26873856 has 117 divisors (see below), whose sum is σ = 80607631. Its totient is φ = 8957952.

The previous prime is 26873813. The next prime is 26873863. The reversal of 26873856 is 65837862.

The square root of 26873856 is 5184.

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

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (3!)^{6}.

26873856 is a *`hidden beast`* number, since 268 + 7 + 385 + 6 = 666.

It is a Duffinian number.

Its product of digits (483840) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 9 and base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8957951 + 8957952 + 8957953.

Almost surely, 2^{26873856} is an apocalyptic number.

26873856 is a droll number since its even prime factors and its odd prime factors have the same sum.

26873856 is the 5184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26873856

26873856 is an abundant number, since it is smaller than the sum of its proper divisors (53733775).

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

26873856 is an frugal number, since it uses more digits than its factorization.

26873856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 5 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The cubic root of 26873856 is about 299.5320705195.

The spelling of 26873856 in words is "twenty-six million, eight hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2187 2304 2592 2916 3072 3456 3888 4096 4374 4608 5184 5832 6144 6561 6912 7776 8748 9216 10368 11664 12288 13122 13824 15552 17496 18432 20736 23328 26244 27648 31104 34992 36864 41472 46656 52488 55296 62208 69984 82944 93312 104976 110592 124416 139968 165888 186624 209952 248832 279936 331776 373248 419904 497664 559872 746496 839808 995328 1119744 1492992 1679616 2239488 2985984 3359232 4478976 6718464 8957952 13436928 26873856

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