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1683544192 = 27112941231
BaseRepresentation
bin110010001011000…
…1101100010000000
311100022212220110121
41210112031202000
511421441403232
6435020110024
756501614051
oct14426154200
94308786417
101683544192
11794353740
123ab995314
1320aa373c5
1411d840728
159cc02d97
hex6458d880

1683544192 has 64 divisors (see below), whose sum is σ = 3785097600. Its totient is φ = 738841600.

The previous prime is 1683544171. The next prime is 1683544199. The reversal of 1683544192 is 2914453861.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1683544199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20217 + ... + 61447.

It is an arithmetic number, because the mean of its divisors is an integer number (59142150).

Almost surely, 21683544192 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 1683544192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892548800).

1683544192 is an abundant number, since it is smaller than the sum of its proper divisors (2101553408).

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

1683544192 is a wasteful number, since it uses less digits than its factorization.

1683544192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41285 (or 41273 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 1683544192 is about 41031.0150008503. The cubic root of 1683544192 is about 1189.6197716562.

The spelling of 1683544192 in words is "one billion, six hundred eighty-three million, five hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3712 5104 10208 20416 40832 41231 82462 164924 329848 453541 659696 907082 1195699 1319392 1814164 2391398 2638784 3628328 4782796 5277568 7256656 9565592 13152689 14513312 19131184 26305378 29026624 38262368 52610756 58053248 76524736 105221512 153049472 210443024 420886048 841772096 1683544192