Search a number
-
+
798138936 = 233272775717
BaseRepresentation
bin101111100100101…
…010001000111000
32001121211122210100
4233210222020320
53113310421221
6211110515400
725531032450
oct5744521070
92047748710
10798138936
1137a58a661
121a3365b60
13c9480a7a
1478002d60
154a10a926
hex2f92a238

798138936 has 96 divisors (see below), whose sum is σ = 2479782240. Its totient is φ = 227176704.

The previous prime is 798138911. The next prime is 798138949. The reversal of 798138936 is 639831897.

It is a super-2 number, since 2×7981389362 = 1274051522318424192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136750 + ... + 142466.

It is an arithmetic number, because the mean of its divisors is an integer number (25831065).

Almost surely, 2798138936 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 798138936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239891120).

798138936 is an abundant number, since it is smaller than the sum of its proper divisors (1681643304).

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

798138936 is a wasteful number, since it uses less digits than its factorization.

798138936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013 (or 6006 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 798138936 is about 28251.3528171661. The cubic root of 798138936 is about 927.5973499676.

The spelling of 798138936 in words is "seven hundred ninety-eight million, one hundred thirty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 277 504 554 831 1108 1662 1939 2216 2493 3324 3878 4986 5717 5817 6648 7756 9972 11434 11634 15512 17151 17451 19944 22868 23268 34302 34902 40019 45736 46536 51453 68604 69804 80038 102906 120057 137208 139608 160076 205812 240114 320152 360171 411624 480228 720342 960456 1440684 1583609 2881368 3167218 4750827 6334436 9501654 11085263 12668872 14252481 19003308 22170526 28504962 33255789 38006616 44341052 57009924 66511578 88682104 99767367 114019848 133023156 199534734 266046312 399069468 798138936