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4404864384 = 27327352379
BaseRepresentation
bin1000001101000110…
…01110010110000000
3102100222112021222100
410012203032112000
533010121130014
62005031310400
7214104505134
oct40643162600
912328467870
104404864384
111960481898
12a2b21b400
1355277713b
142db0233c4
151aba9a009
hex1068ce580

4404864384 has 96 divisors (see below), whose sum is σ = 12849337800. Its totient is φ = 1448146944.

The previous prime is 4404864379. The next prime is 4404864439. The reversal of 4404864384 is 4834684044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 57907 + ... + 110285.

Almost surely, 24404864384 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 4404864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424668900).

4404864384 is an abundant number, since it is smaller than the sum of its proper divisors (8444473416).

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

4404864384 is a wasteful number, since it uses less digits than its factorization.

4404864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52472 (or 52457 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The square root of 4404864384 is about 66369.1523525802. The cubic root of 4404864384 is about 1639.2461814242.

The spelling of 4404864384 in words is "four billion, four hundred four million, eight hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1152 1168 1314 1752 2336 2628 3504 4672 5256 7008 9344 10512 14016 21024 28032 42048 52379 84096 104758 157137 209516 314274 419032 471411 628548 838064 942822 1257096 1676128 1885644 2514192 3352256 3771288 3823667 5028384 6704512 7542576 7647334 10056768 11471001 15085152 15294668 20113536 22942002 30170304 30589336 34413003 45884004 60340608 61178672 68826006 91768008 122357344 137652012 183536016 244714688 275304024 367072032 489429376 550608048 734144064 1101216096 1468288128 2202432192 4404864384