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44056608 = 2531074289
BaseRepresentation
bin1010100000010…
…0000000100000
310001220022022020
42220010000200
542234302413
64212141440
71043321631
oct250040040
9101808266
1044056608
1122961422
1212907880
1391870cb
145bcb888
153d03c23
hex2a04020

44056608 has 48 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 14544896.

The previous prime is 44056577. The next prime is 44056609. The reversal of 44056608 is 80665044.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (44056609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8128 + ... + 12416.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 244056608 is an apocalyptic number.

44056608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44056608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

44056608 is an abundant number, since it is smaller than the sum of its proper divisors (72700032).

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

44056608 is a wasteful number, since it uses less digits than its factorization.

44056608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 44056608 is about 6637.5151977227. The cubic root of 44056608 is about 353.1861671054.

The spelling of 44056608 in words is "forty-four million, fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 4289 5136 8578 10272 12867 17156 25734 34312 51468 68624 102936 137248 205872 411744 458923 917846 1376769 1835692 2753538 3671384 5507076 7342768 11014152 14685536 22028304 44056608