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1684882992 = 2431313719709
BaseRepresentation
bin110010001101101…
…0100011000110000
311100102101220221210
41210123110120300
511422312223432
6435104520120
756516161212
oct14433243060
94312356853
101684882992
11795088591
123b0320040
1320b0b58b0
1411daac5b2
159cdb98cc
hex646d4630

1684882992 has 80 divisors (see below), whose sum is σ = 4721885280. Its totient is φ = 514615296.

The previous prime is 1684882951. The next prime is 1684882993. The reversal of 1684882992 is 2992884861.

It is not an unprimeable number, because it can be changed into a prime (1684882993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75634 + ... + 95342.

It is an arithmetic number, because the mean of its divisors is an integer number (59023566).

Almost surely, 21684882992 is an apocalyptic number.

1684882992 is a gapful number since it is divisible by the number (12) 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 1684882992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360942640).

1684882992 is an abundant number, since it is smaller than the sum of its proper divisors (3037002288).

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

1684882992 is a wasteful number, since it uses less digits than its factorization.

1684882992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19870 (or 19864 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The square root of 1684882992 is about 41047.3262466631. The cubic root of 1684882992 is about 1189.9350274062.

The spelling of 1684882992 in words is "one billion, six hundred eighty-four million, eight hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 208 274 312 411 548 624 822 1096 1644 1781 2192 3288 3562 5343 6576 7124 10686 14248 19709 21372 28496 39418 42744 59127 78836 85488 118254 157672 236508 256217 315344 473016 512434 768651 946032 1024868 1537302 2049736 2700133 3074604 4099472 5400266 6149208 8100399 10800532 12298416 16200798 21601064 32401596 35101729 43202128 64803192 70203458 105305187 129606384 140406916 210610374 280813832 421220748 561627664 842441496 1684882992