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44120961 = 3241119569
BaseRepresentation
bin1010100001001…
…1101110000001
310002000120120200
42220103232001
542243332321
64213355413
71044010353
oct250235601
9102016520
1044120961
11229a5805
1212938b69
1391aa4a1
145c070d3
153d17d26
hex2a13b81

44120961 has 12 divisors (see below), whose sum is σ = 65285220. Its totient is φ = 28696320.

The previous prime is 44120959. The next prime is 44120971. The reversal of 44120961 is 16902144.

It can be written as a sum of positive squares in 2 ways, for example, as 18870336 + 25250625 = 4344^2 + 5025^2 .

It is not a de Polignac number, because 44120961 - 21 = 44120959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44120971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59416 + ... + 60153.

It is an arithmetic number, because the mean of its divisors is an integer number (5440435).

Almost surely, 244120961 is an apocalyptic number.

44120961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

44120961 is a deficient number, since it is larger than the sum of its proper divisors (21164259).

44120961 is a wasteful number, since it uses less digits than its factorization.

44120961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119616 (or 119613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 44120961 is about 6642.3611012952. The cubic root of 44120961 is about 353.3580484867.

The spelling of 44120961 in words is "forty-four million, one hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 3 9 41 123 369 119569 358707 1076121 4902329 14706987 44120961