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44064144 = 2432319871
BaseRepresentation
bin1010100000010…
…1110110010000
310001220200122100
42220011312100
542240023034
64212240400
71043352615
oct250056620
9101820570
1044064144
1122967053
1212910100
13918a677
145bd050c
153d06099
hex2a05d90

44064144 has 60 divisors (see below), whose sum is σ = 127309312. Its totient is φ = 14212800.

The previous prime is 44064133. The next prime is 44064149. The reversal of 44064144 is 44146044.

It is not an unprimeable number, because it can be changed into a prime (44064149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472 + ... + 9399.

Almost surely, 244064144 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 44064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63654656).

44064144 is an abundant number, since it is smaller than the sum of its proper divisors (83245168).

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

44064144 is a wasteful number, since it uses less digits than its factorization.

44064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 44064144 is about 6638.0828557649. The cubic root of 44064144 is about 353.2063037685.

The spelling of 44064144 in words is "forty-four million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 9871 19742 29613 39484 59226 78968 88839 118452 157936 177678 236904 306001 355356 473808 612002 710712 918003 1224004 1421424 1836006 2448008 2754009 3672012 4896016 5508018 7344024 11016036 14688048 22032072 44064144