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

bin | 1000000000000… |

… | …0000000000000 |

3 | 2100010202000202 |

4 | 2000000000000 |

5 | 32042220212 |

6 | 3155104332 |

7 | 555131222 |

oct | 200000000 |

9 | 70122022 |

10 | 33554432 |

11 | 17a38a3a |

12 | b2a20a8 |

13 | 6c4aac2 |

14 | 4656412 |

15 | 2e2c0c2 |

hex | 2000000 |

33554432 has 26 divisors (see below), whose sum is σ = 67108863. Its totient is φ = 16777216.

The previous prime is 33554393. The next prime is 33554467. The reversal of 33554432 is 23445533.

It is a perfect power (a 5-th power, a 25-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{25}.

It can be written as a sum of positive squares in only one way, i.e., 16777216 + 16777216 = 4096^2 + 4096^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=4096.

It is a super-3 number, since 3×33554432^{3} (a number of 24 digits) contains 333 as substring. Note that it is a super-*d* number also for *d* = 2.

It is a Leyland number of the form 8^{8} + 8^{8}.

It is a Duffinian number.

Its product of digits (21600) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 33554395 and 33554404.

It is an unprimeable number.

In principle, a polygon with 33554432 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^{33554432} is an apocalyptic number.

33554432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33554432

33554432 is a deficient number, since it is larger than the sum of its proper divisors (33554431).

33554432 is an frugal number, since it uses more digits than its factorization.

33554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 2 counting only the distinct ones).

The product of its digits is 21600, while the sum is 29.

The square root of 33554432 is about 5792.6187514802. The cubic root of 33554432 is about 322.5397887731.

The spelling of 33554432 in words is "thirty-three million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432

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