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2104044032 = 2917534561
BaseRepresentation
bin111110101101001…
…0010101000000000
312102122010111210202
41331122102220000
513302113402112
6544440544332
7103066036106
oct17532225000
95378114722
102104044032
1198a750472
124a87820a8
13276ba578c
1415d61dc76
15c4ab56c2
hex7d692a00

2104044032 has 80 divisors (see below), whose sum is σ = 4536252072. Its totient is φ = 971243520.

The previous prime is 2104044031. The next prime is 2104044037. The reversal of 2104044032 is 2304404012.

It can be written as a sum of positive squares in 4 ways, for example, as 2008473856 + 95570176 = 44816^2 + 9776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2104043995 and 2104044013.

It is not an unprimeable number, because it can be changed into a prime (2104044031) by changing a digit.

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, 459032 + ... + 463592.

Almost surely, 22104044032 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 2104044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268126036).

2104044032 is an abundant number, since it is smaller than the sum of its proper divisors (2432208040).

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

2104044032 is an equidigital number, since it uses as much as digits as its factorization.

2104044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2104044032 is about 45869.8597338165. The cubic root of 2104044032 is about 1281.4006542594.

Adding to 2104044032 its reverse (2304404012), we get a palindrome (4408448044).

The spelling of 2104044032 in words is "two billion, one hundred four million, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 424 512 544 848 901 1088 1696 1802 2176 3392 3604 4352 4561 6784 7208 8704 9122 13568 14416 18244 27136 28832 36488 57664 72976 77537 115328 145952 155074 230656 241733 291904 310148 461312 483466 583808 620296 966932 1167616 1240592 1933864 2335232 2481184 3867728 4109461 4962368 7735456 8218922 9924736 15470912 16437844 19849472 30941824 32875688 39698944 61883648 65751376 123767296 131502752 263005504 526011008 1052022016 2104044032