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2993749808 = 247294122481
BaseRepresentation
bin1011001001110000…
…1111111100110000
321201122021020200112
42302130033330300
522112344443213
61213022240452
7134121311360
oct26234177460
97648236615
102993749808
1112a69915a5
126b6726128
133893066ba
1420585a9a0
15127c5bea8
hexb270ff30

2993749808 has 80 divisors (see below), whose sum is σ = 7025175360. Its totient is φ = 1208524800.

The previous prime is 2993749807. The next prime is 2993749813. The reversal of 2993749808 is 8089473992.

It is not an unprimeable number, because it can be changed into a prime (2993749807) 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, 121928 + ... + 144408.

It is an arithmetic number, because the mean of its divisors is an integer number (87814692).

Almost surely, 22993749808 is an apocalyptic number.

2993749808 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 2993749808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512587680).

2993749808 is an abundant number, since it is smaller than the sum of its proper divisors (4031425552).

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

2993749808 is a wasteful number, since it uses less digits than its factorization.

2993749808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22566 (or 22560 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 59.

The square root of 2993749808 is about 54715.1698160574. The cubic root of 2993749808 is about 1441.2472809596.

The spelling of 2993749808 in words is "two billion, nine hundred ninety-three million, seven hundred forty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 112 116 164 203 232 287 328 406 464 574 656 812 1148 1189 1624 2296 2378 3248 4592 4756 8323 9512 16646 19024 22481 33292 44962 66584 89924 133168 157367 179848 314734 359696 629468 651949 921721 1258936 1303898 1843442 2517872 2607796 3686884 4563643 5215592 6452047 7373768 9127286 10431184 12904094 14747536 18254572 25808188 26729909 36509144 51616376 53459818 73018288 103232752 106919636 187109363 213839272 374218726 427678544 748437452 1496874904 2993749808