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44645664 = 253729491
BaseRepresentation
bin1010101001001…
…1110100100000
310010000020100010
42222103310200
542412130124
64232524520
71051324200
oct252236440
9103006303
1044645664
1123223a48
1212b50740
13933226b
145d02400
153dbd529
hex2a93d20

44645664 has 72 divisors (see below), whose sum is σ = 136343088. Its totient is φ = 12754560.

The previous prime is 44645647. The next prime is 44645669. The reversal of 44645664 is 46654644.

It is not an unprimeable number, because it can be changed into a prime (44645669) 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, 42 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (1893654).

Almost surely, 244645664 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 44645664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68171544).

44645664 is an abundant number, since it is smaller than the sum of its proper divisors (91697424).

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

44645664 is a wasteful number, since it uses less digits than its factorization.

44645664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9503 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 44645664 is about 6681.7410904644. The cubic root of 44645664 is about 354.7532875531.

The spelling of 44645664 in words is "forty-four million, six hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 9491 18982 28473 37964 56946 66437 75928 113892 132874 151856 199311 227784 265748 303712 398622 455568 465059 531496 797244 911136 930118 1062992 1395177 1594488 1860236 2125984 2790354 3188976 3720472 5580708 6377952 7440944 11161416 14881888 22322832 44645664