Search a number
-
+
814649696 = 257423461
BaseRepresentation
bin110000100011101…
…001000101100000
32002202220111021222
4300203221011200
53132022242241
6212500434212
726121260000
oct6043510540
92082814258
10814649696
11388937413
121a89a8968
13cca11c53
147a2a0000
154b7bca4b
hex308e9160

814649696 has 120 divisors (see below), whose sum is σ = 1956621744. Its totient is φ = 333231360.

The previous prime is 814649617. The next prime is 814649699. The reversal of 814649696 is 696946418.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814649699) 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 19 ways as a sum of consecutive naturals, for example, 1766906 + ... + 1767366.

Almost surely, 2814649696 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 814649696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978310872).

814649696 is an abundant number, since it is smaller than the sum of its proper divisors (1141972048).

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

814649696 is an equidigital number, since it uses as much as digits as its factorization.

814649696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 493 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 814649696 is about 28542.0688808643. The cubic root of 814649696 is about 933.9500146726.

The spelling of 814649696 in words is "eight hundred fourteen million, six hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 343 368 392 461 644 686 736 784 922 1127 1288 1372 1568 1844 2254 2401 2576 2744 3227 3688 4508 4802 5152 5488 6454 7376 7889 9016 9604 10603 10976 12908 14752 15778 18032 19208 21206 22589 25816 31556 36064 38416 42412 45178 51632 55223 63112 74221 76832 84824 90356 103264 110446 126224 148442 158123 169648 180712 220892 252448 296884 316246 339296 361424 441784 519547 593768 632492 722848 883568 1039094 1106861 1187536 1264984 1767136 2078188 2213722 2375072 2529968 3636829 4156376 4427444 5059936 7273658 8312752 8854888 14547316 16625504 17709776 25457803 29094632 35419552 50915606 58189264 101831212 116378528 203662424 407324848 814649696