Search a number
-
+
9895984 = 247149593
BaseRepresentation
bin100101110000…
…000000110000
3200121202201221
4211300000300
510013132414
6552034424
7150054160
oct45600060
920552657
109895984
115649aaa
123392a14
132086417
1414585a0
15d07224
hex970030

9895984 has 40 divisors (see below), whose sum is σ = 22096800. Its totient is φ = 4205568.

The previous prime is 9895981. The next prime is 9895993. The reversal of 9895984 is 4895989.

It is not an unprimeable number, because it can be changed into a prime (9895981) 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 7 ways as a sum of consecutive naturals, for example, 16392 + ... + 16984.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 29895984 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 9895984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048400).

9895984 is an abundant number, since it is smaller than the sum of its proper divisors (12200816).

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

9895984 is a wasteful number, since it uses less digits than its factorization.

9895984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its digits is 933120, while the sum is 52.

The square root of 9895984 is about 3145.7882954833. The cubic root of 9895984 is about 214.6938783880.

The spelling of 9895984 in words is "nine million, eight hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 593 596 1043 1186 1192 2086 2372 2384 4151 4172 4744 8302 8344 9488 16604 16688 33208 66416 88357 176714 353428 618499 706856 1236998 1413712 2473996 4947992 9895984