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19892808 = 23321353401
BaseRepresentation
bin100101111100…
…0101001001000
31101102122210200
41023320221020
520043032213
61550212200
7331041345
oct113705110
941378720
1019892808
1110257841
1267b4060
1341766c0
1428db7cc
151b2e273
hex12f8a48

19892808 has 96 divisors (see below), whose sum is σ = 59262840. Its totient is φ = 5990400.

The previous prime is 19892801. The next prime is 19892849. The reversal of 19892808 is 80829891.

It can be written as a sum of positive squares in 4 ways, for example, as 19554084 + 338724 = 4422^2 + 582^2 .

It is not an unprimeable number, because it can be changed into a prime (19892801) 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 23 ways as a sum of consecutive naturals, for example, 49408 + ... + 49808.

Almost surely, 219892808 is an apocalyptic number.

19892808 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 19892808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631420).

19892808 is an abundant number, since it is smaller than the sum of its proper divisors (39370032).

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

19892808 is a wasteful number, since it uses less digits than its factorization.

19892808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 19892808 is about 4460.1354239530. The cubic root of 19892808 is about 270.9559529543.

The spelling of 19892808 in words is "nineteen million, eight hundred ninety-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 401 424 468 477 636 689 802 936 954 1203 1272 1378 1604 1908 2067 2406 2756 3208 3609 3816 4134 4812 5213 5512 6201 7218 8268 9624 10426 12402 14436 15639 16536 20852 21253 24804 28872 31278 41704 42506 46917 49608 62556 63759 85012 93834 125112 127518 170024 187668 191277 255036 276289 375336 382554 510072 552578 765108 828867 1105156 1530216 1657734 2210312 2486601 3315468 4973202 6630936 9946404 19892808