Search a number
-
+
9924894 = 2327227347
BaseRepresentation
bin100101110111…
…000100011110
3200200020101200
4211313010132
510020044034
6552420330
7150234360
oct45670436
920606350
109924894
1156697a1
1233a76a6
132096625
141464d30
15d10a99
hex97711e

9924894 has 48 divisors (see below), whose sum is σ = 24755328. Its totient is φ = 2815056.

The previous prime is 9924881. The next prime is 9924899. The reversal of 9924894 is 4984299.

It is a super-2 number, since 2×99248942 = 197007041822472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9924899) 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 23 ways as a sum of consecutive naturals, for example, 28429 + ... + 28775.

It is an arithmetic number, because the mean of its divisors is an integer number (515736).

Almost surely, 29924894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9924894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377664).

9924894 is an abundant number, since it is smaller than the sum of its proper divisors (14830434).

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

9924894 is a wasteful number, since it uses less digits than its factorization.

9924894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 586 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9924894 is about 3150.3799770821. The cubic root of 9924894 is about 214.9027431039.

It can be divided in two parts, 992 and 4894, that added together give a triangular number (5886 = T108).

The spelling of 9924894 in words is "nine million, nine hundred twenty-four thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 347 454 681 694 1041 1362 1589 2043 2082 2429 3123 3178 4086 4767 4858 6246 7287 9534 14301 14574 21861 28602 43722 78769 157538 236307 472614 551383 708921 1102766 1417842 1654149 3308298 4962447 9924894