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9144828 = 22327113299
BaseRepresentation
bin100010111000…
…100111111100
3122012121100100
4202320213330
54320113303
6524001100
7140505210
oct42704774
918177310
109144828
115186710
123090190
131b82554
141300940
15c098a3
hex8b89fc

9144828 has 72 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 2374560.

The previous prime is 9144799. The next prime is 9144829. The reversal of 9144828 is 8284419.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9144792 and 9144801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9144829) 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, 1123 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (400400).

Almost surely, 29144828 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 9144828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

9144828 is an abundant number, since it is smaller than the sum of its proper divisors (19683972).

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

9144828 is a wasteful number, since it uses less digits than its factorization.

9144828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3322 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 9144828 is about 3024.0416663796. The cubic root of 9144828 is about 209.1182072854.

The spelling of 9144828 in words is "nine million, one hundred forty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3299 6598 9897 13196 19794 23093 29691 36289 39588 46186 59382 69279 72578 92372 108867 118764 138558 145156 207837 217734 254023 277116 326601 415674 435468 508046 653202 762069 831348 1016092 1306404 1524138 2286207 3048276 4572414 9144828