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1689205608 = 2332671013467
BaseRepresentation
bin110010010101111…
…0011101101101000
311100201112112110200
41210223303231220
511424414034413
6435341312200
756601003456
oct14453635550
94321475420
101689205608
117975701a2
123b1865660
1320bc6a25c
141204b59d6
159d470573
hex64af3b68

1689205608 has 96 divisors (see below), whose sum is σ = 4690539360. Its totient is φ = 549014400.

The previous prime is 1689205607. The next prime is 1689205631. The reversal of 1689205608 is 8065029861.

1689205608 is a `hidden beast` number, since 1 + 6 + 89 + 2 + 0 + 560 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1689205603) 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 23 ways as a sum of consecutive naturals, for example, 485491 + ... + 488957.

It is an arithmetic number, because the mean of its divisors is an integer number (48859785).

Almost surely, 21689205608 is an apocalyptic number.

1689205608 is a gapful number since it is divisible by the number (18) 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 1689205608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345269680).

1689205608 is an abundant number, since it is smaller than the sum of its proper divisors (3001333752).

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

1689205608 is a wasteful number, since it uses less digits than its factorization.

1689205608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1689205608 is about 41099.9465693083. The cubic root of 1689205608 is about 1190.9517626452.

The spelling of 1689205608 in words is "one billion, six hundred eighty-nine million, two hundred five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 101 134 201 202 268 303 402 404 536 603 606 804 808 909 1206 1212 1608 1818 2412 2424 3467 3636 4824 6767 6934 7272 10401 13534 13868 20301 20802 27068 27736 31203 40602 41604 54136 60903 62406 81204 83208 121806 124812 162408 232289 243612 249624 350167 464578 487224 696867 700334 929156 1050501 1393734 1400668 1858312 2090601 2101002 2787468 2801336 3151503 4181202 4202004 5574936 6303006 8362404 8404008 12606012 16724808 23461189 25212024 46922378 70383567 93844756 140767134 187689512 211150701 281534268 422301402 563068536 844602804 1689205608