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444012432 = 24337250007
BaseRepresentation
bin11010011101110…
…001011110010000
31010221111011112220
4122131301132100
51402131344212
6112020421040
714001020613
oct3235613620
91127434486
10444012432
112086a7126
12104847780
1370cb1566
1442d8017a
1528ea938c
hex1a771790

444012432 has 40 divisors (see below), whose sum is σ = 1178037696. Its totient is φ = 144003456.

The previous prime is 444012427. The next prime is 444012433. The reversal of 444012432 is 234210444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (444012433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123228 + ... + 126779.

Almost surely, 2444012432 is an apocalyptic number.

It is an amenable number.

444012432 is an abundant number, since it is smaller than the sum of its proper divisors (734025264).

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

444012432 is a wasteful number, since it uses less digits than its factorization.

444012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250055 (or 250049 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444012432 is about 21071.6025019456. The cubic root of 444012432 is about 762.8954828102.

Adding to 444012432 its reverse (234210444), we get a palindrome (678222876).

It can be divided in two parts, 444012 and 432, that added together give a palindrome (444444).

The spelling of 444012432 in words is "four hundred forty-four million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 250007 500014 750021 1000028 1500042 2000056 3000084 4000112 6000168 9250259 12000336 18500518 27750777 37001036 55501554 74002072 111003108 148004144 222006216 444012432