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444444 = 2237111337
BaseRepresentation
bin1101100100000011100
3211120122220
41230200130
5103210234
613305340
73530520
oct1544034
9746586
10444444
11283a10
12195250
131273b0
14b7d80
158ba49
hex6c81c

444444 has 96 divisors (see below), whose sum is σ = 1430016. Its totient is φ = 103680.

The previous prime is 444443. The next prime is 444449.

444444 is nontrivially palindromic in base 10.

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

444444 is a modest number, since divided by 4444 gives 44 as remainder.

444444 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444443) 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, 11994 + ... + 12030.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2444444 is an apocalyptic number.

444444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715008).

444444 is an abundant number, since it is smaller than the sum of its proper divisors (985572).

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

444444 is a wasteful number, since it uses less digits than its factorization.

444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 444444 is about 666.6663333332. Note that the first 3 decimals coincide. The cubic root of 444444 is about 76.3142573988.

The spelling of 444444 in words is "four hundred forty-four thousand, four hundred forty-four", and is thus an iban number.

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 37 39 42 44 52 66 74 77 78 84 91 111 132 143 148 154 156 182 222 231 259 273 286 308 364 407 429 444 462 481 518 546 572 777 814 858 924 962 1001 1036 1092 1221 1443 1554 1628 1716 1924 2002 2442 2849 2886 3003 3108 3367 4004 4884 5291 5698 5772 6006 6734 8547 10101 10582 11396 12012 13468 15873 17094 20202 21164 31746 34188 37037 40404 63492 74074 111111 148148 222222 444444