Search a number
-
+
2836021248 = 214342137
BaseRepresentation
bin1010100100001010…
…0100000000000000
321022122110210210000
42221002210000000
521302010134443
61145225440000
7130164532344
oct25102440000
97278423700
102836021248
111225950815
12671940000
1336272caa8
141cc91d624
15118ea28d3
hexa90a4000

2836021248 has 150 divisors (see below), whose sum is σ = 8476757366. Its totient is φ = 944898048.

The previous prime is 2836021247. The next prime is 2836021303. The reversal of 2836021248 is 8421206382.

2836021248 is a `hidden beast` number, since 2 + 8 + 3 + 602 + 1 + 2 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1719926784 + 1116094464 = 41472^2 + 33408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2836021247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326036 + ... + 1328172.

Almost surely, 22836021248 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 2836021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238378683).

2836021248 is an abundant number, since it is smaller than the sum of its proper divisors (5640736118).

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

2836021248 is an frugal number, since it uses more digits than its factorization.

2836021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2836021248 is about 53254.3073187512. The cubic root of 2836021248 is about 1415.4781185090.

The spelling of 2836021248 in words is "two billion, eight hundred thirty-six million, twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2137 2304 2592 3072 3456 4096 4274 4608 5184 6144 6411 6912 8192 8548 9216 10368 12288 12822 13824 16384 17096 18432 19233 20736 24576 25644 27648 34192 36864 38466 41472 49152 51288 55296 57699 68384 73728 76932 82944 102576 110592 115398 136768 147456 153864 165888 173097 205152 221184 230796 273536 307728 331776 346194 410304 442368 461592 547072 615456 663552 692388 820608 923184 1094144 1230912 1327104 1384776 1641216 1846368 2188288 2461824 2769552 3282432 3692736 4376576 4923648 5539104 6564864 7385472 8753152 9847296 11078208 13129728 14770944 17506304 19694592 22156416 26259456 29541888 35012608 39389184 44312832 52518912 59083776 78778368 88625664 105037824 118167552 157556736 177251328 236335104 315113472 354502656 472670208 709005312 945340416 1418010624 2836021248