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2044410104 = 23111091311627
BaseRepresentation
bin111100111011011…
…0011100011111000
312021110220210102202
41321312303203320
513141332110404
6534510445332
7101443125212
oct17166634370
95243823382
102044410104
1195a01a630
12490803848
13267726329
141557395b2
15be73621e
hex79db38f8

2044410104 has 64 divisors (see below), whose sum is σ = 4254940800. Its totient is φ = 913161600.

The previous prime is 2044410097. The next prime is 2044410107. The reversal of 2044410104 is 4010144402.

It is a happy number.

It is a super-2 number, since 2×20444101042 = 8359225346674581632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044410107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255739 + ... + 1257365.

It is an arithmetic number, because the mean of its divisors is an integer number (66483450).

Almost surely, 22044410104 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 2044410104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127470400).

2044410104 is an abundant number, since it is smaller than the sum of its proper divisors (2210530696).

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

2044410104 is a wasteful number, since it uses less digits than its factorization.

2044410104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2044410104 is about 45215.1534775677. The cubic root of 2044410104 is about 1269.1784017845.

Adding to 2044410104 its reverse (4010144402), we get a palindrome (6054554506).

The spelling of 2044410104 in words is "two billion, forty-four million, four hundred ten thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 109 131 218 262 436 524 872 1048 1199 1441 1627 2398 2882 3254 4796 5764 6508 9592 11528 13016 14279 17897 28558 35794 57116 71588 114232 143176 157069 177343 213137 314138 354686 426274 628276 709372 852548 1256552 1418744 1705096 1950773 2344507 3901546 4689014 7803092 9378028 15606184 18756056 23231933 46463866 92927732 185855464 255551263 511102526 1022205052 2044410104