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444411432 = 23326172381
BaseRepresentation
bin11010011111010…
…010111000101000
31010222020102212200
4122133102320220
51402232131212
6112033140200
714004302103
oct3237227050
91128212780
10444411432
11208949983
121049ba660
13710c105a
144304573a
15290376dc
hex1a7d2e28

444411432 has 24 divisors (see below), whose sum is σ = 1203614490. Its totient is φ = 148137120.

The previous prime is 444411431. The next prime is 444411439. The reversal of 444411432 is 234114444.

It can be written as a sum of positive squares in only one way, i.e., 440748036 + 3663396 = 20994^2 + 1914^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 444411396 and 444411405.

It is not an unprimeable number, because it can be changed into a prime (444411431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3086119 + ... + 3086262.

Almost surely, 2444411432 is an apocalyptic number.

It is an amenable number.

444411432 is an abundant number, since it is smaller than the sum of its proper divisors (759203058).

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

444411432 is a wasteful number, since it uses less digits than its factorization.

444411432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172393 (or 6172386 counting only the distinct ones).

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

The square root of 444411432 is about 21081.0680943827. The cubic root of 444411432 is about 763.1239329934.

Adding to 444411432 its reverse (234114444), we get a palindrome (678525876).

It can be divided in two parts, 4444 and 11432, that added together give a square (15876 = 1262).

The spelling of 444411432 in words is "four hundred forty-four million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6172381 12344762 18517143 24689524 37034286 49379048 55551429 74068572 111102858 148137144 222205716 444411432