Search a number
-
+
9895296 = 27373353
BaseRepresentation
bin100101101111…
…110110000000
3200121201210110
4211233312000
510013122141
6552031320
7150052155
oct45576600
920551713
109895296
115649534
123392540
132086008
14145822c
15d06e16
hex96fd80

9895296 has 64 divisors (see below), whose sum is σ = 26719920. Its totient is φ = 3244032.

The previous prime is 9895279. The next prime is 9895307. The reversal of 9895296 is 6925989.

9895296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27856 + ... + 28208.

Almost surely, 29895296 is an apocalyptic number.

9895296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9895296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359960).

9895296 is an abundant number, since it is smaller than the sum of its proper divisors (16824624).

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

9895296 is a wasteful number, since it uses less digits than its factorization.

9895296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 9895296 is about 3145.6789410237. The cubic root of 9895296 is about 214.6889028743.

The spelling of 9895296 in words is "nine million, eight hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 353 384 438 584 706 876 1059 1168 1412 1752 2118 2336 2824 3504 4236 4672 5648 7008 8472 9344 11296 14016 16944 22592 25769 28032 33888 45184 51538 67776 77307 103076 135552 154614 206152 309228 412304 618456 824608 1236912 1649216 2473824 3298432 4947648 9895296