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444044448 = 25321541821
BaseRepresentation
bin11010011101111…
…001010010100000
31010221112210110200
4122131321102200
51402133410243
6112021225200
714001213141
oct3235712240
91127483420
10444044448
11208719191
12104862200
1370cc2cc3
1442d8bac8
1528eb3ad3
hex1a7794a0

444044448 has 36 divisors (see below), whose sum is σ = 1262752218. Its totient is φ = 148014720.

The previous prime is 444044429. The next prime is 444044453. The reversal of 444044448 is 844440444.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 426505104 + 17539344 = 20652^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 770623 + ... + 771198.

Almost surely, 2444044448 is an apocalyptic number.

444044448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444044448 is an abundant number, since it is smaller than the sum of its proper divisors (818707770).

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

444044448 is a wasteful number, since it uses less digits than its factorization.

444044448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541837 (or 1541826 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The square root of 444044448 is about 21072.3621836756. The cubic root of 444044448 is about 762.9138188394.

It can be divided in two parts, 4440444 and 48, that multiplied together give a palindrome (213141312).

The spelling of 444044448 in words is "four hundred forty-four million, forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1541821 3083642 4625463 6167284 9250926 12334568 13876389 18501852 24669136 27752778 37003704 49338272 55505556 74007408 111011112 148014816 222022224 444044448