Search a number
-
+
9842924 = 2272133863
BaseRepresentation
bin100101100011…
…000011101100
3200112001221202
4211203003230
510004433144
6550545032
7146443400
oct45430354
920461852
109842924
115613153
123368178
132068220
141443100
15ce664e
hex9630ec

9842924 has 36 divisors (see below), whose sum is σ = 21584304. Its totient is φ = 3892896.

The previous prime is 9842909. The next prime is 9842953. The reversal of 9842924 is 4292489.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617 + ... + 4479.

It is an arithmetic number, because the mean of its divisors is an integer number (599564).

Almost surely, 29842924 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 9842924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792152).

9842924 is an abundant number, since it is smaller than the sum of its proper divisors (11741380).

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

9842924 is a wasteful number, since it uses less digits than its factorization.

9842924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3885 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 9842924 is about 3137.3434622304. The cubic root of 9842924 is about 214.3094774070.

The spelling of 9842924 in words is "nine million, eight hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 3863 7726 15452 27041 50219 54082 100438 108164 189287 200876 351533 378574 703066 757148 1406132 2460731 4921462 9842924