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44716672 = 2771113349
BaseRepresentation
bin1010101010010…
…1001010000000
310010010211202001
42222211022000
542421413142
64234233344
71052041210
oct252451200
9103124661
1044716672
1123272330
1212b85854
139358690
145d20240
153dd45b7
hex2aa5280

44716672 has 128 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 16035840.

The previous prime is 44716667. The next prime is 44716673. The reversal of 44716672 is 27661744.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44716673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127954 + ... + 128302.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 244716672 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 44716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976000).

44716672 is an abundant number, since it is smaller than the sum of its proper divisors (75235328).

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

44716672 is a wasteful number, since it uses less digits than its factorization.

44716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 44716672 is about 6687.0525644711. The cubic root of 44716672 is about 354.9412638392.

The spelling of 44716672 in words is "forty-four million, seven hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 349 352 364 416 448 572 616 698 704 728 832 896 1001 1144 1232 1396 1408 1456 1664 2002 2288 2443 2464 2792 2912 3839 4004 4537 4576 4886 4928 5584 5824 7678 8008 9074 9152 9772 9856 11168 11648 15356 16016 18148 18304 19544 22336 26873 30712 31759 32032 36296 39088 44672 49907 53746 61424 63518 64064 72592 78176 99814 107492 122848 127036 128128 145184 156352 199628 214984 245696 254072 290368 312704 349349 399256 429968 491392 508144 580736 698698 798512 859936 1016288 1397396 1597024 1719872 2032576 2794792 3194048 3439744 4065152 5589584 6388096 11179168 22358336 44716672