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82444311 = 351572161
BaseRepresentation
bin1001110101000…
…00000000010111
312202010121100000
410322200000113
5132101204221
612103022343
72020523265
oct472400027
9182117300
1082444311
11425a06a4
122373a9b3
1314107b21
14ad41435
157387e26
hex4ea0017

82444311 has 24 divisors (see below), whose sum is σ = 124340944. Its totient is φ = 54587520.

The previous prime is 82444291. The next prime is 82444331. The reversal of 82444311 is 11344428.

It is an interprime number because it is at equal distance from previous prime (82444291) and next prime (82444331).

It is not a de Polignac number, because 82444311 - 25 = 82444279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82444331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37071 + ... + 39231.

Almost surely, 282444311 is an apocalyptic number.

82444311 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82444311 is a deficient number, since it is larger than the sum of its proper divisors (41896633).

82444311 is a wasteful number, since it uses less digits than its factorization.

82444311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2321 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 82444311 is about 9079.8849662317. The cubic root of 82444311 is about 435.2314107608.

Adding to 82444311 its reverse (11344428), we get a palindrome (93788739).

The spelling of 82444311 in words is "eighty-two million, four hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 9 27 81 157 243 471 1413 2161 4239 6483 12717 19449 38151 58347 175041 339277 525123 1017831 3053493 9160479 27481437 82444311