Search a number
-
+
799689072 = 243713214083
BaseRepresentation
bin101111101010100…
…100100101110000
32001201202102011210
4233222210211300
53114210022242
6211204040120
725550150010
oct5752444560
92051672153
10799689072
11380449266
121a3993040
13c98a4500
14782c7c40
154a314d9c
hex2faa4970

799689072 has 120 divisors (see below), whose sum is σ = 2556753024. Its totient is φ = 210892032.

The previous prime is 799689071. The next prime is 799689083. The reversal of 799689072 is 270986997.

799689072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7996890722 = 1279005223752442368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799689071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49743 + ... + 63825.

Almost surely, 2799689072 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 799689072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278376512).

799689072 is an abundant number, since it is smaller than the sum of its proper divisors (1757063952).

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

799689072 is a wasteful number, since it uses less digits than its factorization.

799689072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14127 (or 14108 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The square root of 799689072 is about 28278.7742308609. The cubic root of 799689072 is about 928.1974844772.

The spelling of 799689072 in words is "seven hundred ninety-nine million, six hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14083 14196 18928 28166 28392 42249 56332 56784 84498 98581 112664 168996 183079 197162 225328 295743 337992 366158 394324 549237 591486 675984 732316 788648 1098474 1182972 1281553 1464632 1577296 2196948 2365944 2380027 2563106 2929264 3844659 4393896 4731888 4760054 5126212 7140081 7689318 8787792 9520108 10252424 14280162 15378636 16660189 19040216 20504848 28560324 30757272 33320378 38080432 49980567 57120648 61514544 66640756 99961134 114241296 133281512 199922268 266563024 399844536 799689072