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19793312 = 2571129277
BaseRepresentation
bin100101110000…
…0010110100000
31101020121022122
41023200112200
520031341222
61544123412
7330145310
oct113402640
941217278
1019793312
111019a010
126766568
134140326
1428b3440
151b0ea42
hex12e05a0

19793312 has 96 divisors (see below), whose sum is σ = 50440320. Its totient is φ = 7418880.

The previous prime is 19793299. The next prime is 19793329. The reversal of 19793312 is 21339791.

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, 71318 + ... + 71594.

It is an arithmetic number, because the mean of its divisors is an integer number (525420).

Almost surely, 219793312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19793312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25220160).

19793312 is an abundant number, since it is smaller than the sum of its proper divisors (30647008).

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

19793312 is a wasteful number, since it uses less digits than its factorization.

19793312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 10206, while the sum is 35.

The square root of 19793312 is about 4448.9675206726. The cubic root of 19793312 is about 270.5034593535.

The spelling of 19793312 in words is "nineteen million, seven hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 277 308 319 352 406 464 554 616 638 812 928 1108 1232 1276 1624 1939 2216 2233 2464 2552 3047 3248 3878 4432 4466 5104 6094 6496 7756 8033 8864 8932 10208 12188 15512 16066 17864 21329 24376 31024 32132 35728 42658 48752 56231 62048 64264 71456 85316 88363 97504 112462 128528 170632 176726 224924 257056 341264 353452 449848 618541 682528 706904 899696 1237082 1413808 1799392 2474164 2827616 4948328 9896656 19793312