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444002004 = 2232432331231
BaseRepresentation
bin11010011101101…
…110111011010100
31010221110122020200
4122131232323110
51402131031004
6112020300500
714000645325
oct3235567324
91127418220
10444002004
1120869a306
12104841730
1370ca98a4
1442d7a44c
1528ea6239
hex1a76eed4

444002004 has 72 divisors (see below), whose sum is σ = 1154305152. Its totient is φ = 143821440.

The previous prime is 444002003. The next prime is 444002023. The reversal of 444002004 is 400200444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444002003) 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, 360069 + ... + 361299.

It is an arithmetic number, because the mean of its divisors is an integer number (16032016).

Almost surely, 2444002004 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 444002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577152576).

444002004 is an abundant number, since it is smaller than the sum of its proper divisors (710303148).

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

444002004 is a wasteful number, since it uses less digits than its factorization.

444002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444002004 is about 21071.3550584674. The cubic root of 444002004 is about 762.8895103526.

Adding to 444002004 its reverse (400200444), we get a palindrome (844202448).

The spelling of 444002004 in words is "four hundred forty-four million, two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 233 258 387 466 516 699 774 932 1231 1398 1548 2097 2462 2796 3693 4194 4924 7386 8388 10019 11079 14772 20038 22158 30057 40076 44316 52933 60114 90171 105866 120228 158799 180342 211732 286823 317598 360684 476397 573646 635196 860469 952794 1147292 1720938 1905588 2581407 3441876 5162814 10325628 12333389 24666778 37000167 49333556 74000334 111000501 148000668 222001002 444002004