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2078863584 = 25375952433
BaseRepresentation
bin111101111101000…
…1111000011100000
312100212202012201120
41323322033003200
513224142113314
6542141132240
7102342022530
oct17372170340
95325665646
102078863584
11977511a86
124a025a080
132718ca3c5
1415a1474c0
15c278e8a9
hex7be8f0e0

2078863584 has 96 divisors (see below), whose sum is σ = 6342416640. Its totient is φ = 583882752.

The previous prime is 2078863583. The next prime is 2078863597. The reversal of 2078863584 is 4853688702.

It is a happy number.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078863583) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13432 + ... + 65864.

It is an arithmetic number, because the mean of its divisors is an integer number (66066840).

Almost surely, 22078863584 is an apocalyptic number.

2078863584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078863584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171208320).

2078863584 is an abundant number, since it is smaller than the sum of its proper divisors (4263553056).

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

2078863584 is a wasteful number, since it uses less digits than its factorization.

2078863584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52512 (or 52504 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 2078863584 is about 45594.5565171984. The cubic root of 2078863584 is about 1276.2683437034.

The spelling of 2078863584 in words is "two billion, seventy-eight million, eight hundred sixty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 13216 19824 39648 52433 104866 157299 209732 314598 367031 419464 629196 734062 838928 1101093 1258392 1468124 1677856 2202186 2516784 2936248 3093547 4404372 5033568 5872496 6187094 8808744 9280641 11744992 12374188 17617488 18561282 21654829 24748376 35234976 37122564 43309658 49496752 64964487 74245128 86619316 98993504 129928974 148490256 173238632 259857948 296980512 346477264 519715896 692954528 1039431792 2078863584