Search a number
-
+
9750656 = 27174481
BaseRepresentation
bin100101001100…
…100010000000
3200100101101102
4211030202000
54444010111
6544553532
7145610366
oct45144200
920311342
109750656
11555a8a3
1233228a8
132035226
14141b636
15cc913b
hex94c880

9750656 has 32 divisors (see below), whose sum is σ = 20572380. Its totient is φ = 4587520.

The previous prime is 9750649. The next prime is 9750659. The reversal of 9750656 is 6560579.

It can be written as a sum of positive squares in 2 ways, for example, as 8904256 + 846400 = 2984^2 + 920^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9750659) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 65 + ... + 4416.

Almost surely, 29750656 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 9750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286190).

9750656 is an abundant number, since it is smaller than the sum of its proper divisors (10821724).

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

9750656 is a wasteful number, since it uses less digits than its factorization.

9750656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 9750656 is about 3122.6040415013. The cubic root of 9750656 is about 213.6377251981.

The spelling of 9750656 in words is "nine million, seven hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 4481 8962 17924 35848 71696 76177 143392 152354 286784 304708 573568 609416 1218832 2437664 4875328 9750656