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2049793344 = 263310131171
BaseRepresentation
bin111101000101101…
…0101110101000000
312021212001021212000
41322023111311000
513144221341334
6535222104000
7101536645614
oct17213256500
95255037760
102049793344
11962067095
1249257b000
1326888c691
1415633b344
15bee4b299
hex7a2d5d40

2049793344 has 112 divisors (see below), whose sum is σ = 6037112640. Its totient is φ = 682007040.

The previous prime is 2049793313. The next prime is 2049793351. The reversal of 2049793344 is 4433979402.

It is a self number, because there is not a number n which added to its sum of digits gives 2049793344.

It is a congruent number.

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, 1749879 + ... + 1751049.

Almost surely, 22049793344 is an apocalyptic number.

2049793344 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 2049793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018556320).

2049793344 is an abundant number, since it is smaller than the sum of its proper divisors (3987319296).

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

2049793344 is a wasteful number, since it uses less digits than its factorization.

2049793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2049793344 is about 45274.6434994247. The cubic root of 2049793344 is about 1270.2914048076.

The spelling of 2049793344 in words is "two billion, forty-nine million, seven hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1013 1171 1728 2026 2342 3039 3513 4052 4684 6078 7026 8104 9117 9368 10539 12156 14052 16208 18234 18736 21078 24312 27351 28104 31617 32416 36468 37472 42156 48624 54702 56208 63234 64832 72936 74944 84312 97248 109404 112416 126468 145872 168624 194496 218808 224832 252936 291744 337248 437616 505872 583488 674496 875232 1011744 1186223 1750464 2023488 2372446 3558669 4744892 7117338 9489784 10676007 14234676 18979568 21352014 28469352 32028021 37959136 42704028 56938704 64056042 75918272 85408056 113877408 128112084 170816112 227754816 256224168 341632224 512448336 683264448 1024896672 2049793344