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2004244632 = 2332135936293
BaseRepresentation
bin111011101110110…
…0101100010011000
312011200100011202200
41313131211202120
513101041312012
6530513530200
7100444540545
oct16735454230
95150304680
102004244632
11939386725
1247b273960
1325c302390
14150281bcc
15bae503dc
hex77765898

2004244632 has 96 divisors (see below), whose sum is σ = 5944957200. Its totient is φ = 606221568.

The previous prime is 2004244603. The next prime is 2004244637. The reversal of 2004244632 is 2364424002.

2004244632 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 24 + 4 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2004244596 and 2004244605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004244637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37078 + ... + 73370.

Almost surely, 22004244632 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 2004244632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972478600).

2004244632 is an abundant number, since it is smaller than the sum of its proper divisors (3940712568).

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

2004244632 is a wasteful number, since it uses less digits than its factorization.

2004244632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36377 (or 36370 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2004244632 is about 44768.7908257527. The cubic root of 2004244632 is about 1260.8117369529.

Adding to 2004244632 its reverse (2364424002), we get a palindrome (4368668634).

The spelling of 2004244632 in words is "two billion, four million, two hundred forty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 177 234 236 312 354 468 472 531 708 767 936 1062 1416 1534 2124 2301 3068 4248 4602 6136 6903 9204 13806 18408 27612 36293 55224 72586 108879 145172 217758 290344 326637 435516 471809 653274 871032 943618 1306548 1415427 1887236 2141287 2613096 2830854 3774472 4246281 4282574 5661708 6423861 8492562 8565148 11323416 12847722 16985124 17130296 19271583 25695444 27836731 33970248 38543166 51390888 55673462 77086332 83510193 111346924 154172664 167020386 222693848 250530579 334040772 501061158 668081544 1002122316 2004244632