Search a number
-
+
9925872 = 2431121709
BaseRepresentation
bin100101110111…
…010011110000
3200200021201220
4211313103300
510020111442
6552425040
7150240255
oct45672360
920607656
109925872
11566a500
1233a8180
132096bc8
14146542c
15d10eec
hex9774f0

9925872 has 60 divisors (see below), whose sum is σ = 28201320. Its totient is φ = 3006080.

The previous prime is 9925843. The next prime is 9925873. The reversal of 9925872 is 2785299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4954 + ... + 6662.

It is an arithmetic number, because the mean of its divisors is an integer number (470022).

Almost surely, 29925872 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 9925872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100660).

9925872 is an abundant number, since it is smaller than the sum of its proper divisors (18275448).

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

9925872 is a wasteful number, since it uses less digits than its factorization.

9925872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1725 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 9925872 is about 3150.5351926300. The cubic root of 9925872 is about 214.9098017176.

The spelling of 9925872 in words is "nine million, nine hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1709 1936 2904 3418 5127 5808 6836 10254 13672 18799 20508 27344 37598 41016 56397 75196 82032 112794 150392 206789 225588 300784 413578 451176 620367 827156 902352 1240734 1654312 2481468 3308624 4962936 9925872