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4283884672 = 27174148017
BaseRepresentation
bin1111111101010110…
…1110010010000000
3102001112212220000021
43333111232102000
532233133302142
61545030303224
7211105263454
oct37725562200
912045786007
104283884672
1118a9160a61
129b67b7b14
13533699302
142c8d30664
151a114e267
hexff56e480

4283884672 has 64 divisors (see below), whose sum is σ = 9256910040. Its totient is φ = 1966735360.

The previous prime is 4283884667. The next prime is 4283884687. The reversal of 4283884672 is 2764883824.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2470487616 + 1813397056 = 49704^2 + 42584^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65208 + ... + 113224.

Almost surely, 24283884672 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 4283884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628455020).

4283884672 is an abundant number, since it is smaller than the sum of its proper divisors (4973025368).

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

4283884672 is a wasteful number, since it uses less digits than its factorization.

4283884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48089 (or 48077 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 52.

The square root of 4283884672 is about 65451.3916735160. The cubic root of 4283884672 is about 1624.0993411531.

The spelling of 4283884672 in words is "four billion, two hundred eighty-three million, eight hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 272 328 544 656 697 1088 1312 1394 2176 2624 2788 5248 5576 11152 22304 44608 48017 89216 96034 192068 384136 768272 816289 1536544 1632578 1968697 3073088 3265156 3937394 6146176 6530312 7874788 13060624 15749576 26121248 31499152 33467849 52242496 62998304 66935698 104484992 125996608 133871396 251993216 267742792 535485584 1070971168 2141942336 4283884672