Search a number
-
+
6441444 = 2236472
BaseRepresentation
bin11000100100100111100100
3110010021000000
4120210213210
53122111234
6350021300
7105515502
oct30444744
913107000
106441444
1136aa609
1221a7830
131446c09
14bd9672
15873899
hex6249e4

6441444 has 63 divisors (see below), whose sum is σ = 17268307. Its totient is φ = 2101464.

The previous prime is 6441439. The next prime is 6441467. The reversal of 6441444 is 4441446.

The square root of 6441444 is 2538.

It is a perfect power (a square), and thus also a powerful number.

6441444 is a `hidden beast` number, since 644 + 14 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 137029 + ... + 137075.

Almost surely, 26441444 is an apocalyptic number.

6441444 is the 2538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441444

6441444 is an abundant number, since it is smaller than the sum of its proper divisors (10826863).

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

6441444 is an equidigital number, since it uses as much as digits as its factorization.

6441444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 52 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The cubic root of 6441444 is about 186.0634538965.

The spelling of 6441444 in words is "six million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 243 282 324 423 486 564 729 846 972 1269 1458 1692 2209 2538 2916 3807 4418 5076 6627 7614 8836 11421 13254 15228 19881 22842 26508 34263 39762 45684 59643 68526 79524 119286 137052 178929 238572 357858 536787 715716 1073574 1610361 2147148 3220722 6441444