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2432044004 = 2213171927621
BaseRepresentation
bin1001000011110110…
…0000101111100100
320021111022122011212
42100331200233210
514440100402004
61041155050552
7114161014205
oct22075405744
96244278155
102432044004
111038909725
1257a5a0a58
132c9b280c0
141910015ac
15e37a596e
hex90f60be4

2432044004 has 72 divisors (see below), whose sum is σ = 5122624248. Its totient is φ = 1000719360.

The previous prime is 2432043973. The next prime is 2432044033. The reversal of 2432044004 is 4004402342.

It can be written as a sum of positive squares in 4 ways, for example, as 697488100 + 1734555904 = 26410^2 + 41648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315314 + ... + 322934.

It is an arithmetic number, because the mean of its divisors is an integer number (71147559).

Almost surely, 22432044004 is an apocalyptic number.

It is an amenable number.

2432044004 is an abundant number, since it is smaller than the sum of its proper divisors (2690580244).

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

2432044004 is a wasteful number, since it uses less digits than its factorization.

2432044004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2432044004 is about 49315.7581711972. The cubic root of 2432044004 is about 1344.7982734363.

Adding to 2432044004 its reverse (4004402342), we get a palindrome (6436446346).

The spelling of 2432044004 in words is "two billion, four hundred thirty-two million, forty-four thousand, four".

Divisors: 1 2 4 13 17 19 26 34 38 52 68 76 221 247 323 361 442 494 646 722 884 988 1292 1444 4199 4693 6137 7621 8398 9386 12274 15242 16796 18772 24548 30484 79781 99073 129557 144799 159562 198146 259114 289598 319124 396292 518228 579196 1684241 1882387 2461583 2751181 3368482 3764774 4923166 5502362 6736964 7529548 9846332 11004724 32000579 35765353 46770077 64001158 71530706 93540154 128002316 143061412 187080308 608011001 1216022002 2432044004