Search a number
-
+
8049780 = 223454969
BaseRepresentation
bin11110101101010001110100
3120010222020000
4132231101310
54030043110
6444311300
7125264514
oct36552164
916128200
108049780
1145a8a12
122842530
13188acab
1410d7844
15a901c0
hex7ad474

8049780 has 60 divisors (see below), whose sum is σ = 25257540. Its totient is φ = 2146176.

The previous prime is 8049779. The next prime is 8049803. The reversal of 8049780 is 879408.

It can be written as a sum of positive squares in 2 ways, for example, as 2232036 + 5817744 = 1494^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 865 + ... + 4104.

It is an arithmetic number, because the mean of its divisors is an integer number (420959).

Almost surely, 28049780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8049780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628770).

8049780 is an abundant number, since it is smaller than the sum of its proper divisors (17207760).

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

8049780 is a wasteful number, since it uses less digits than its factorization.

8049780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8049780 is about 2837.2134216516. The cubic root of 8049780 is about 200.4139758620.

The spelling of 8049780 in words is "eight million, forty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4969 9938 14907 19876 24845 29814 44721 49690 59628 74535 89442 99380 134163 149070 178884 223605 268326 298140 402489 447210 536652 670815 804978 894420 1341630 1609956 2012445 2683260 4024890 8049780