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2444402424 = 233434195653
BaseRepresentation
bin1001000110110010…
…1001111011111000
320022100120111202010
42101230221323320
520001231334144
61042320005520
7114401035452
oct22154517370
96270514663
102444402424
11104488a7a2
125827608a0
132cc564289
141928db2d2
15e48e75b9
hex91b29ef8

2444402424 has 64 divisors (see below), whose sum is σ = 6269155200. Its totient is φ = 793812096.

The previous prime is 2444402419. The next prime is 2444402501. The reversal of 2444402424 is 4242044442.

It is a junction number, because it is equal to n+sod(n) for n = 2444402391 and 2444402400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 429582 + ... + 435234.

It is an arithmetic number, because the mean of its divisors is an integer number (97955550).

Almost surely, 22444402424 is an apocalyptic number.

2444402424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134577600).

2444402424 is an abundant number, since it is smaller than the sum of its proper divisors (3824752776).

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

2444402424 is a wasteful number, since it uses less digits than its factorization.

2444402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The square root of 2444402424 is about 49440.8982928102. The cubic root of 2444402424 is about 1347.0722879798.

Adding to 2444402424 its reverse (4242044442), we get a palindrome (6686446866).

The spelling of 2444402424 in words is "two billion, four hundred forty-four million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 419 516 838 1032 1257 1676 2514 3352 5028 5653 10056 11306 16959 18017 22612 33918 36034 45224 54051 67836 72068 108102 135672 144136 216204 243079 432408 486158 729237 972316 1458474 1944632 2368607 2916948 4737214 5833896 7105821 9474428 14211642 18948856 28423284 56846568 101850101 203700202 305550303 407400404 611100606 814800808 1222201212 2444402424