Search a number
-
+
9834828 = 2232959479
BaseRepresentation
bin100101100001…
…000101001100
3200111122211220
4211201011030
510004203303
6550443340
7146410653
oct45410514
920448756
109834828
115608063
123363550
132064633
14144019a
15ce4053
hex96114c

9834828 has 48 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 3105088.

The previous prime is 9834827. The next prime is 9834829. The reversal of 9834828 is 8284389.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9834827) and next prime (9834829).

It is a self number, because there is not a number n which added to its sum of digits gives 9834828.

It is not an unprimeable number, because it can be changed into a prime (9834821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20293 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 29834828 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 9834828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

9834828 is an abundant number, since it is smaller than the sum of its proper divisors (14357172).

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

9834828 is a wasteful number, since it uses less digits than its factorization.

9834828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 572 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 9834828 is about 3136.0529332267. The cubic root of 9834828 is about 214.2507033594.

The spelling of 9834828 in words is "nine million, eight hundred thirty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 174 177 236 348 354 479 708 958 1437 1711 1916 2874 3422 5133 5748 6844 10266 13891 20532 27782 28261 41673 55564 56522 83346 84783 113044 166692 169566 339132 819569 1639138 2458707 3278276 4917414 9834828