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8661664 = 251122237
BaseRepresentation
bin100001000010…
…101010100000
3121022001120101
4201002222200
54204133124
6505352144
7133423444
oct41025240
917261511
108661664
114986700
122a98654
131a4365b
141216824
15b61644
hex842aa0

8661664 has 36 divisors (see below), whose sum is σ = 18752202. Its totient is φ = 3935360.

The previous prime is 8661643. The next prime is 8661673. The reversal of 8661664 is 4661668.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 2371600 = 2508^2 + 1540^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2754 + ... + 4990.

Almost surely, 28661664 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 8661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376101).

8661664 is an abundant number, since it is smaller than the sum of its proper divisors (10090538).

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

8661664 is a wasteful number, since it uses less digits than its factorization.

8661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2250 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 8661664 is about 2943.0705054416. The cubic root of 8661664 is about 205.3684747111.

The spelling of 8661664 in words is "eight million, six hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 2237 3872 4474 8948 17896 24607 35792 49214 71584 98428 196856 270677 393712 541354 787424 1082708 2165416 4330832 8661664