Search a number
-
+
1338594048 = 28321152817
BaseRepresentation
bin100111111001001…
…0101001100000000
310110021210121211100
41033302111030000
510220140002143
6340454414400
745112601361
oct11762251400
93407717740
101338594048
11627668580
12314361400
1318442b8ac
14c9ac9b68
157c7b56d3
hex4fc95300

1338594048 has 108 divisors (see below), whose sum is σ = 4210439688. Its totient is φ = 405626880.

The previous prime is 1338594017. The next prime is 1338594053. The reversal of 1338594048 is 8404958331.

1338594048 is a `hidden beast` number, since 13 + 3 + 8 + 594 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1338593994 and 1338594012.

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 11 ways as a sum of consecutive naturals, for example, 1065 + ... + 51752.

Almost surely, 21338594048 is an apocalyptic number.

1338594048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338594048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105219844).

1338594048 is an abundant number, since it is smaller than the sum of its proper divisors (2871845640).

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

1338594048 is a wasteful number, since it uses less digits than its factorization.

1338594048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52850 (or 52833 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1338594048 is about 36586.8015546590. The cubic root of 1338594048 is about 1102.0880581102.

The spelling of 1338594048 in words is "one billion, three hundred thirty-eight million, five hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 52817 105634 158451 211268 316902 422536 475353 580987 633804 845072 950706 1161974 1267608 1690144 1742961 1901412 2323948 2535216 3380288 3485922 3802824 4647896 5070432 5228883 6760576 6971844 7605648 9295792 10140864 10457766 13521152 13943688 15211296 18591584 20281728 20915532 27887376 30422592 37183168 40563456 41831064 55774752 60845184 74366336 83662128 111549504 121690368 148732672 167324256 223099008 334648512 446198016 669297024 1338594048