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444202444 = 2272191011181
BaseRepresentation
bin11010011110011…
…111110111001100
31010221211211012101
4122132133313030
51402203434234
6112024444444
714002441600
oct3236376714
91127754171
10444202444
11208816964
12104919724
1371049baa
1442dcd500
1528ee5814
hex1a79fdcc

444202444 has 72 divisors (see below), whose sum is σ = 962100720. Its totient is φ = 178416000.

The previous prime is 444202433. The next prime is 444202459.

444202444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4442024442 = 394631622511146272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375534 + ... + 376714.

It is an arithmetic number, because the mean of its divisors is an integer number (13362510).

Almost surely, 2444202444 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 444202444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481050360).

444202444 is an abundant number, since it is smaller than the sum of its proper divisors (517898276).

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

444202444 is a wasteful number, since it uses less digits than its factorization.

444202444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 444202444 is about 21076.1107417854. The cubic root of 444202444 is about 763.0042925438.

It can be divided in two parts, 44420 and 2444, that added together give a palindrome (46864).

The spelling of 444202444 in words is "four hundred forty-four million, two hundred two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 101 133 196 202 266 404 532 707 931 1181 1414 1862 1919 2362 2828 3724 3838 4724 4949 7676 8267 9898 13433 16534 19796 22439 26866 33068 44878 53732 57869 89756 94031 115738 119281 157073 188062 231476 238562 314146 376124 477124 628292 834967 1099511 1669934 2199022 2266339 3339868 4398044 4532678 5844769 9065356 11689538 15864373 23379076 31728746 63457492 111050611 222101222 444202444