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2075349388 = 2272937671031
BaseRepresentation
bin111101110110011…
…0101000110001100
312100122010200011011
41323230311012030
513222242140023
6541533535004
7102300115210
oct17354650614
95318120134
102075349388
11975531792
1249b044464
13270c699b8
141598b0940
15c22e850d
hex7bb3518c

2075349388 has 96 divisors (see below), whose sum is σ = 4480035840. Its totient is φ = 822286080.

The previous prime is 2075349379. The next prime is 2075349413. The reversal of 2075349388 is 8839435702.

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 31 ways as a sum of consecutive naturals, for example, 2012433 + ... + 2013463.

It is an arithmetic number, because the mean of its divisors is an integer number (46667040).

Almost surely, 22075349388 is an apocalyptic number.

2075349388 is a gapful number since it is divisible by the number (28) 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 2075349388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240017920).

2075349388 is an abundant number, since it is smaller than the sum of its proper divisors (2404686452).

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

2075349388 is a wasteful number, since it uses less digits than its factorization.

2075349388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The square root of 2075349388 is about 45556.0027658266. The cubic root of 2075349388 is about 1275.5487860309.

The spelling of 2075349388 in words is "two billion, seventy-five million, three hundred forty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 29 37 58 67 74 116 134 148 203 259 268 406 469 518 812 938 1031 1036 1073 1876 1943 2062 2146 2479 3886 4124 4292 4958 7217 7511 7772 9916 13601 14434 15022 17353 27202 28868 29899 30044 34706 38147 54404 59798 69077 69412 71891 76294 119596 138154 143782 152588 209293 267029 276308 287564 418586 483539 503237 534058 837172 967078 1006474 1068116 1106263 1934156 2003233 2012948 2212526 2555849 4006466 4425052 5111698 7743841 8012932 10223396 14022631 15487682 17890943 28045262 30975364 35781886 56090524 71563772 74119621 148239242 296478484 518837347 1037674694 2075349388