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4217032416 = 25346794063
BaseRepresentation
bin1111101101011010…
…1100111011100000
3101212220002102221210
43323112230323200
532114030014131
61534241350120
7206334120102
oct37326547340
911786072853
104217032416
11187444a963
12998338340
1352289046c
142c00cb572
1519a346146
hexfb5acee0

4217032416 has 48 divisors (see below), whose sum is σ = 11093531904. Its totient is φ = 1402652544.

The previous prime is 4217032381. The next prime is 4217032447. The reversal of 4217032416 is 6142307124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2200 + ... + 91863.

It is an arithmetic number, because the mean of its divisors is an integer number (231115248).

Almost surely, 24217032416 is an apocalyptic number.

It is an amenable number.

4217032416 is an abundant number, since it is smaller than the sum of its proper divisors (6876499488).

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

4217032416 is a wasteful number, since it uses less digits than its factorization.

4217032416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94543 (or 94535 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4217032416 is about 64938.6819699938. The cubic root of 4217032416 is about 1615.6067034586.

The spelling of 4217032416 in words is "four billion, two hundred seventeen million, thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 467 934 1401 1868 2802 3736 5604 7472 11208 14944 22416 44832 94063 188126 282189 376252 564378 752504 1128756 1505008 2257512 3010016 4515024 9030048 43927421 87854842 131782263 175709684 263564526 351419368 527129052 702838736 1054258104 1405677472 2108516208 4217032416