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

bin | 1100110100001… |

… | …0000000000000 |

3 | 10202010200000000 |

4 | 3031002000000 |

5 | 102224411322 |

6 | 5200000000 |

7 | 1221563604 |

oct | 315020000 |

9 | 122120000 |

10 | 53747712 |

11 | 283804a7 |

12 | 16000000 |

13 | b19b1a5 |

14 | 71d1504 |

15 | 4aba3ac |

hex | 3342000 |

53747712 has 126 divisors (see below), whose sum is σ = 161225103. Its totient is φ = 17915904.

The previous prime is 53747699. The next prime is 53747719. The reversal of 53747712 is 21774735.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It can be written as a sum of positive squares in only one way, i.e., 26873856 + 26873856 = 5184^2 + 5184^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=5184.

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

Its product of digits (41160) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (53747719) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17915903 + 17915904 + 17915905.

Almost surely, 2^{53747712} 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 53747712

53747712 is an abundant number, since it is smaller than the sum of its proper divisors (107477391).

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

53747712 is an frugal number, since it uses more digits than its factorization.

53747712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 5 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 53747712 is about 7331.2831073421. The cubic root of 53747712 is about 377.3867607661.

Multiplying 53747712 by its sum of digits (36), we get a 5-th power (1934917632 = 72^{5}).

The spelling of 53747712 in words is "fifty-three million, seven hundred forty-seven thousand, seven hundred twelve".

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 8192 8748 9216 10368 11664 12288 13122 13824 15552 17496 18432 20736 23328 24576 26244 27648 31104 34992 36864 41472 46656 52488 55296 62208 69984 73728 82944 93312 104976 110592 124416 139968 165888 186624 209952 221184 248832 279936 331776 373248 419904 497664 559872 663552 746496 839808 995328 1119744 1492992 1679616 1990656 2239488 2985984 3359232 4478976 5971968 6718464 8957952 13436928 17915904 26873856 53747712

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