Search a number
-
+
44982608384 = 297210091777
BaseRepresentation
bin101001111001001011…
…000010001000000000
311022002220201021020202
4221321023002020000
51214111021432014
632355325224332
73151465601600
oct517113021000
9138086637222
1044982608384
111809356750a
1288747020a8
13431b43204c
14226a222c00
1512841553de
hexa792c2200

44982608384 has 120 divisors (see below), whose sum is σ = 104713727580. Its totient is φ = 19248316416.

The previous prime is 44982608351. The next prime is 44982608423. The reversal of 44982608384 is 48380628944.

It can be written as a sum of positive squares in 2 ways, for example, as 44571654400 + 410953984 = 211120^2 + 20272^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25312904 + ... + 25314680.

Almost surely, 244982608384 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 44982608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52356863790).

44982608384 is an abundant number, since it is smaller than the sum of its proper divisors (59731119196).

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

44982608384 is a wasteful number, since it uses less digits than its factorization.

44982608384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 44982608384 in words is "forty-four billion, nine hundred eighty-two million, six hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1009 1568 1777 1792 2018 3136 3554 3584 4036 6272 7063 7108 8072 12439 12544 14126 14216 16144 24878 25088 28252 28432 32288 49441 49756 56504 56864 64576 87073 98882 99512 113008 113728 129152 174146 197764 199024 226016 227456 258304 348292 395528 398048 452032 454912 516608 696584 791056 796096 904064 909824 1393168 1582112 1592192 1792993 1808128 2786336 3164224 3184384 3585986 3616256 5572672 6328448 6368768 7171972 11145344 12550951 12656896 14343944 22290688 25101902 25313792 28687888 44581376 50203804 57375776 87856657 100407608 114751552 175713314 200815216 229503104 351426628 401630432 459006208 702853256 803260864 918012416 1405706512 1606521728 2811413024 3213043456 5622826048 6426086912 11245652096 22491304192 44982608384