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

bin | 1100101100000… |

… | …0000000000000 |

3 | 10201010121120112 |

4 | 3023000000000 |

5 | 102110341412 |

6 | 5140330452 |

7 | 1214215310 |

oct | 313000000 |

9 | 121117515 |

10 | 53215232 |

11 | 28047434 |

12 | 159a3a28 |

13 | b042a05 |

14 | 70d3440 |

15 | 4a12722 |

hex | 32c0000 |

53215232 has 76 divisors (see below), whose sum is σ = 125828880. Its totient is φ = 22020096.

The previous prime is 53215229. The next prime is 53215247. The reversal of 53215232 is 23251235.

Its product of digits (1800) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 53215198 and 53215207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1834994 + ... + 1835022.

Almost surely, 2^{53215232} is an apocalyptic number.

53215232 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53215232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62914440).

53215232 is an abundant number, since it is smaller than the sum of its proper divisors (72613648).

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

53215232 is an frugal number, since it uses more digits than its factorization.

53215232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its digits is 1800, while the sum is 23.

The square root of 53215232 is about 7294.8771065728. The cubic root of 53215232 is about 376.1363621895.

The spelling of 53215232 in words is "fifty-three million, two hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1024 1624 1792 1856 2048 3248 3584 3712 4096 6496 7168 7424 8192 12992 14336 14848 16384 25984 28672 29696 32768 51968 57344 59392 65536 103936 114688 118784 131072 207872 229376 237568 262144 415744 458752 475136 831488 917504 950272 1662976 1835008 1900544 3325952 3801088 6651904 7602176 13303808 26607616 53215232

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