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

bin | 10110110010000000000 |

3 | 1101221000000 |

4 | 2312100000 |

5 | 142341441 |

6 | 24000000 |

7 | 6226242 |

oct | 2662000 |

9 | 1357000 |

10 | 746496 |

11 | 46a943 |

12 | 300000 |

13 | 201a1a |

14 | 156092 |

15 | eb2b6 |

hex | b6400 |

746496 has 77 divisors (see below), whose sum is σ = 2237371. Its totient is φ = 248832.

The previous prime is 746483. The next prime is 746497. The reversal of 746496 is 694647.

The square root of 746496 is 864.

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

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

746496 is a *`hidden beast`* number, since 7 + 4 + 649 + 6 = 666.

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

It is a Duffinian number.

It is a nialpdrome in base 12 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 746496.

It is not an unprimeable number, because it can be changed into a prime (746497) by changing a digit.

746496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 248831 + 248832 + 248833.

746496 is a Friedman number, since it can be written as (9-7)*6^6*(4+4), using all its digits and the basic arithmetic operations.

2^{746496} is an apocalyptic number.

746496 is the 864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746496

746496 is an abundant number, since it is smaller than the sum of its proper divisors (1490875).

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

746496 is an frugal number, since it uses more digits than its factorization.

746496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 5 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 746496 is about 90.7143155924.

Multiplying 746496 by its sum of digits (36), we get a 4-th power (26873856 = 72^{4}).

746496 divided by its sum of digits (36) gives a 4-th power (20736 = 12^{4}).

The spelling of 746496 in words is "seven hundred forty-six thousand, four hundred ninety-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 2304 2592 2916 3072 3456 3888 4608 5184 5832 6912 7776 9216 10368 11664 13824 15552 20736 23328 27648 31104 41472 46656 62208 82944 93312 124416 186624 248832 373248 746496

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