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4441284 = 2233174159
BaseRepresentation
bin10000111100010011000100
322100122022000
4100330103010
52114110114
6235105300
752515231
oct20742304
98318260
104441284
112563891
1215a2230
13bc66a3
14838788
155cae09
hex43c4c4

4441284 has 96 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1336320.

The previous prime is 4441279. The next prime is 4441289. The reversal of 4441284 is 4821444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4441279) and next prime (4441289).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4441289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75247 + ... + 75305.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 24441284 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 4441284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4441284 is an abundant number, since it is smaller than the sum of its proper divisors (8259516).

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

4441284 is a wasteful number, since it uses less digits than its factorization.

4441284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4441284 is about 2107.4354082628. The cubic root of 4441284 is about 164.3751574162.

It can be divided in two parts, 444 and 1284, that added together give a cube (1728 = 123).

The spelling of 4441284 in words is "four million, four hundred forty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 59 68 82 102 108 118 123 153 164 177 204 236 246 306 354 369 459 492 531 612 697 708 738 918 1003 1062 1107 1394 1476 1593 1836 2006 2091 2124 2214 2419 2788 3009 3186 4012 4182 4428 4838 6018 6273 6372 7257 8364 9027 9676 12036 12546 14514 18054 18819 21771 25092 27081 29028 36108 37638 41123 43542 54162 65313 75276 82246 87084 108324 123369 130626 164492 246738 261252 370107 493476 740214 1110321 1480428 2220642 4441284