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1682973747 = 3374131997
BaseRepresentation
bin110010001010000…
…0010010000110011
311100021210220222000
41210110002100303
511421320124442
6434555545043
756464020000
oct14424022063
94307726860
101682973747
11793aa40a4
123ab75b183
1320a897870
1411d7328a7
159cb3dd4c
hex64502433

1682973747 has 80 divisors (see below), whose sum is σ = 3133982880. Its totient is φ = 887277888.

The previous prime is 1682973673. The next prime is 1682973757. The reversal of 1682973747 is 7473792861.

It is not a de Polignac number, because 1682973747 - 28 = 1682973491 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1682973693 and 1682973702.

It is not an unprimeable number, because it can be changed into a prime (1682973757) 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 79 ways as a sum of consecutive naturals, for example, 841753 + ... + 843749.

It is an arithmetic number, because the mean of its divisors is an integer number (39174786).

Almost surely, 21682973747 is an apocalyptic number.

1682973747 is a deficient number, since it is larger than the sum of its proper divisors (1451009133).

1682973747 is an equidigital number, since it uses as much as digits as its factorization.

1682973747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2020 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 1682973747 is about 41024.0630240351. The cubic root of 1682973747 is about 1189.4853945657.

The spelling of 1682973747 in words is "one billion, six hundred eighty-two million, nine hundred seventy-three thousand, seven hundred forty-seven".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 343 351 441 637 819 1029 1323 1911 1997 2401 2457 3087 4459 5733 5991 7203 9261 13377 13979 17199 17973 21609 25961 31213 40131 41937 53919 64827 77883 93639 97853 120393 125811 181727 233649 280917 293559 377433 545181 684971 700947 842751 880677 1272089 1635543 2054913 2642031 3816267 4794797 4906629 6164739 8904623 11448801 14384391 18494217 26713869 34346403 43153173 62332361 80141607 129459519 186997083 240424821 560991249 1682973747