Search a number
-
+
864113496 = 233231938111
BaseRepresentation
bin110011100000010…
…101001101011000
32020012222111212120
4303200111031120
53232203112441
6221424541240
730261562221
oct6340251530
92205874776
10864113496
11403851294
12201481820
1310a04027c
1482a98248
1550cdd966
hex33815358

864113496 has 64 divisors (see below), whose sum is σ = 2266168320. Its totient is φ = 274053120.

The previous prime is 864113491. The next prime is 864113527. The reversal of 864113496 is 694311468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864113491) 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, 102481 + ... + 110591.

It is an arithmetic number, because the mean of its divisors is an integer number (35408880).

Almost surely, 2864113496 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 864113496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133084160).

864113496 is an abundant number, since it is smaller than the sum of its proper divisors (1402054824).

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

864113496 is a wasteful number, since it uses less digits than its factorization.

864113496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8332 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 864113496 is about 29395.8074561663. The cubic root of 864113496 is about 952.4823339081.

The spelling of 864113496 in words is "eight hundred sixty-four million, one hundred thirteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 193 276 386 552 579 772 1158 1544 2316 4439 4632 8111 8878 13317 16222 17756 24333 26634 32444 35512 48666 53268 64888 97332 106536 186553 194664 373106 559659 746212 1119318 1492424 1565423 2238636 3130846 4477272 4696269 6261692 9392538 12523384 18785076 36004729 37570152 72009458 108014187 144018916 216028374 288037832 432056748 864113496