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5663664 = 2432371063
BaseRepresentation
bin10101100110101110110000
3101122202002100
4111212232300
52422214124
6321220400
766066066
oct25465660
911582070
105663664
113219216
121a91700
131233ba6
14a76036
1576d1c9
hex566bb0

5663664 has 60 divisors (see below), whose sum is σ = 16294096. Its totient is φ = 1835136.

The previous prime is 5663657. The next prime is 5663689. The reversal of 5663664 is 4663665.

5663664 is a `hidden beast` number, since 566 + 36 + 64 = 666.

5663664 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4797 + ... + 5859.

Almost surely, 25663664 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 5663664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147048).

5663664 is an abundant number, since it is smaller than the sum of its proper divisors (10630432).

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

5663664 is a wasteful number, since it uses less digits than its factorization.

5663664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1105 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 5663664 is about 2379.8453731283. The cubic root of 5663664 is about 178.2512128575.

Subtracting from 5663664 its reverse (4663665), we obtain a palindrome (999999).

The spelling of 5663664 in words is "five million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1063 1332 1776 2126 2664 3189 4252 5328 6378 8504 9567 12756 17008 19134 25512 38268 39331 51024 76536 78662 117993 153072 157324 235986 314648 353979 471972 629296 707958 943944 1415916 1887888 2831832 5663664