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44316672 = 21137213
BaseRepresentation
bin1010100100001…
…1100000000000
310002101112001020
42221003200000
542321113142
64221505440
71045454061
oct251034000
9102345036
1044316672
1123019854
1212a12280
1392485aa
145c58568
153d55cec
hex2a43800

44316672 has 48 divisors (see below), whose sum is σ = 118165320. Its totient is φ = 14770176.

The previous prime is 44316667. The next prime is 44316673. The reversal of 44316672 is 27661344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44316673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2538 + ... + 9750.

Almost surely, 244316672 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 44316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59082660).

44316672 is an abundant number, since it is smaller than the sum of its proper divisors (73848648).

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

44316672 is an equidigital number, since it uses as much as digits as its factorization.

44316672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7238 (or 7218 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 44316672 is about 6657.0768359694. The cubic root of 44316672 is about 353.8797510438.

The spelling of 44316672 in words is "forty-four million, three hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 7213 14426 21639 28852 43278 57704 86556 115408 173112 230816 346224 461632 692448 923264 1384896 1846528 2769792 3693056 5539584 7386112 11079168 14772224 22158336 44316672