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5184144 = 2432737139
BaseRepresentation
bin10011110001101010010000
3100202101022100
4103301222100
52311343034
6303040400
762031060
oct23615220
910671270
105184144
112a20a19
1218a0100
1310c6854
1498d3a0
156c6099
hex4f1a90

5184144 has 120 divisors (see below), whose sum is σ = 17151680. Its totient is φ = 1430784.

The previous prime is 5184143. The next prime is 5184187. The reversal of 5184144 is 4414815.

It is a happy number.

5184144 is a `hidden beast` number, since 518 + 4 + 144 = 666.

It is not an unprimeable number, because it can be changed into a prime (5184143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37227 + ... + 37365.

Almost surely, 25184144 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 5184144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575840).

5184144 is an abundant number, since it is smaller than the sum of its proper divisors (11967536).

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

5184144 is a wasteful number, since it uses less digits than its factorization.

5184144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 5184144 is about 2276.8715378782. The cubic root of 5184144 is about 173.0715509216.

Adding to 5184144 its reverse (4414815), we get a palindrome (9598959).

It can be divided in two parts, 5184 and 144, that multiplied together give a square (746496 = 8642).

The spelling of 5184144 in words is "five million, one hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 139 144 148 168 222 252 259 278 296 333 336 417 444 504 518 556 592 666 777 834 888 973 1008 1036 1112 1251 1332 1554 1668 1776 1946 2072 2224 2331 2502 2664 2919 3108 3336 3892 4144 4662 5004 5143 5328 5838 6216 6672 7784 8757 9324 10008 10286 11676 12432 15429 15568 17514 18648 20016 20572 23352 30858 35028 36001 37296 41144 46287 46704 61716 70056 72002 82288 92574 108003 123432 140112 144004 185148 216006 246864 288008 324009 370296 432012 576016 648018 740592 864024 1296036 1728048 2592072 5184144