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809648112 = 243713185359
BaseRepresentation
bin110000010000100…
…011111111110000
32002102111101102010
4300100203333300
53124232214422
6212201322520
726030616060
oct6020437760
92072441363
10809648112
11386030679
121a7196440
13cb980530
147975b3a0
154b130b0c
hex30423ff0

809648112 has 80 divisors (see below), whose sum is σ = 2574279680. Its totient is φ = 213532416.

The previous prime is 809648101. The next prime is 809648113. The reversal of 809648112 is 211846908.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809648113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88312 + ... + 97047.

It is an arithmetic number, because the mean of its divisors is an integer number (32178496).

Almost surely, 2809648112 is an apocalyptic number.

It is an amenable number.

809648112 is an abundant number, since it is smaller than the sum of its proper divisors (1764631568).

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

809648112 is a wasteful number, since it uses less digits than its factorization.

809648112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185390 (or 185384 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 809648112 is about 28454.3162279469. The cubic root of 809648112 is about 932.0347448473.

The spelling of 809648112 in words is "eight hundred nine million, six hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 185359 370718 556077 741436 1112154 1297513 1482872 2224308 2409667 2595026 2965744 3892539 4448616 4819334 5190052 7229001 7785078 8897232 9638668 10380104 14458002 15570156 16867669 19277336 20760208 28916004 31140312 33735338 38554672 50603007 57832008 62280624 67470676 101206014 115664016 134941352 202412028 269882704 404824056 809648112