Search a number
-
+
869648 = 241337113
BaseRepresentation
bin11010100010100010000
31122011221012
43110110100
5210312043
630350052
710251263
oct3242420
91564835
10869648
1154441a
1235b328
13245ab0
14188cda
15122a18
hexd4510

869648 has 40 divisors (see below), whose sum is σ = 1880088. Its totient is φ = 387072.

The previous prime is 869599. The next prime is 869657. The reversal of 869648 is 846968.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 861184 = 92^2 + 928^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 869648.

It is an unprimeable number.

869648 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 7640 + ... + 7752.

2869648 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 869648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940044).

869648 is an abundant number, since it is smaller than the sum of its proper divisors (1010440).

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

869648 is a wasteful number, since it uses less digits than its factorization.

869648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 869648 is about 932.5491944128. The cubic root of 869648 is about 95.4511505149.

The spelling of 869648 in words is "eight hundred sixty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 113 148 208 226 296 452 481 592 904 962 1469 1808 1924 2938 3848 4181 5876 7696 8362 11752 16724 23504 33448 54353 66896 108706 217412 434824 869648