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2035053312 = 2836014409
BaseRepresentation
bin111100101001100…
…0111001100000000
312020211022102022220
41321103013030000
513131433201222
6533534131040
7101300445015
oct17123071400
95224272286
102035053312
11954809746
12489650a80
132657cb476
141543c170c
15bd9d8b5c
hex794c7300

2035053312 has 72 divisors (see below), whose sum is σ = 5426452080. Its totient is φ = 677068800.

The previous prime is 2035053299. The next prime is 2035053353. The reversal of 2035053312 is 2133505302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 459364 + ... + 463772.

It is an arithmetic number, because the mean of its divisors is an integer number (75367390).

Almost surely, 22035053312 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 2035053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713226040).

2035053312 is an abundant number, since it is smaller than the sum of its proper divisors (3391398768).

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

2035053312 is an equidigital number, since it uses as much as digits as its factorization.

2035053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2035053312 is about 45111.5651690340. The cubic root of 2035053312 is about 1267.2391950432.

Adding to 2035053312 its reverse (2133505302), we get a palindrome (4168558614).

The spelling of 2035053312 in words is "two billion, thirty-five million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 601 768 1202 1803 2404 3606 4409 4808 7212 8818 9616 13227 14424 17636 19232 26454 28848 35272 38464 52908 57696 70544 76928 105816 115392 141088 153856 211632 230784 282176 423264 461568 564352 846528 1128704 1693056 2649809 3386112 5299618 7949427 10599236 15898854 21198472 31797708 42396944 63595416 84793888 127190832 169587776 254381664 339175552 508763328 678351104 1017526656 2035053312