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4284471984 = 2431326326107
BaseRepresentation
bin1111111101011111…
…1101101010110000
3102001120222201122120
43333113331222300
532233311100414
61545051034240
7211113260652
oct37727755260
912046881576
104284471984
1118a9522241
129b6a3b980
13533843730
142c90446d2
151a12182a9
hexff5fdab0

4284471984 has 80 divisors (see below), whose sum is σ = 11965400832. Its totient is φ = 1313236224.

The previous prime is 4284471967. The next prime is 4284472009. The reversal of 4284471984 is 4891744824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151059 + ... + 177165.

Almost surely, 24284471984 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 4284471984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982700416).

4284471984 is an abundant number, since it is smaller than the sum of its proper divisors (7680928848).

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

4284471984 is a wasteful number, since it uses less digits than its factorization.

4284471984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26394 (or 26388 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 4284471984 is about 65455.8781470389. The cubic root of 4284471984 is about 1624.1735580161.

The spelling of 4284471984 in words is "four billion, two hundred eighty-four million, four hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 263 312 526 624 789 1052 1578 2104 3156 3419 4208 6312 6838 10257 12624 13676 20514 26107 27352 41028 52214 54704 78321 82056 104428 156642 164112 208856 313284 339391 417712 626568 678782 1018173 1253136 1357564 2036346 2715128 4072692 5430256 6866141 8145384 13732282 16290768 20598423 27464564 41196846 54929128 82393692 89259833 109858256 164787384 178519666 267779499 329574768 357039332 535558998 714078664 1071117996 1428157328 2142235992 4284471984