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44008056 = 2333792579
BaseRepresentation
bin1010011111100…
…0001001111000
310001210211201000
42213320021320
542231224211
64211125000
71043030241
oct247701170
9101724630
1044008056
11229289a4
12128a3760
13916ac91
145bb7cc8
153ce4656
hex29f8278

44008056 has 64 divisors (see below), whose sum is σ = 123840000. Its totient is φ = 14478048.

The previous prime is 44008031. The next prime is 44008057. The reversal of 44008056 is 65080044.

44008056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44008057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15775 + ... + 18353.

It is an arithmetic number, because the mean of its divisors is an integer number (1935000).

Almost surely, 244008056 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 44008056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61920000).

44008056 is an abundant number, since it is smaller than the sum of its proper divisors (79831944).

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

44008056 is a wasteful number, since it uses less digits than its factorization.

44008056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 44008056 is about 6633.8567967661. The cubic root of 44008056 is about 353.0563780407.

The spelling of 44008056 in words is "forty-four million, eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2579 2844 4266 5158 5688 7737 8532 10316 15474 17064 20632 23211 30948 46422 61896 69633 92844 139266 185688 203741 278532 407482 557064 611223 814964 1222446 1629928 1833669 2444892 3667338 4889784 5501007 7334676 11002014 14669352 22004028 44008056