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9506664 = 2332292157
BaseRepresentation
bin100100010000…
…111101101000
3122212222200200
4210100331220
54413203124
6535432200
7143543136
oct44207550
918788620
109506664
115403552
123225660
131c7b15b
141396756
15c7bbc9
hex910f68

9506664 has 72 divisors (see below), whose sum is σ = 26835510. Its totient is φ = 3040128.

The previous prime is 9506657. The next prime is 9506681. The reversal of 9506664 is 4666059.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7518564 + 1988100 = 2742^2 + 1410^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60474 + ... + 60630.

Almost surely, 29506664 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 9506664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417755).

9506664 is an abundant number, since it is smaller than the sum of its proper divisors (17328846).

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

9506664 is a wasteful number, since it uses less digits than its factorization.

9506664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9506664 is about 3083.2878555205. The cubic root of 9506664 is about 211.8406896174.

The spelling of 9506664 in words is "nine million, five hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 157 174 232 261 314 348 471 522 628 696 841 942 1044 1256 1413 1682 1884 2088 2523 2826 3364 3768 4553 5046 5652 6728 7569 9106 10092 11304 13659 15138 18212 20184 27318 30276 36424 40977 54636 60552 81954 109272 132037 163908 264074 327816 396111 528148 792222 1056296 1188333 1584444 2376666 3168888 4753332 9506664