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83444128 = 2517315073
BaseRepresentation
bin1001111100101…
…00000110100000
312211000101211021
410332110012200
5132330203003
612140255224
72032156225
oct476240640
9184011737
1083444128
1143113899
1223b41514
1314397c31
14b12194c
1574d42bd
hex4f941a0

83444128 has 24 divisors (see below), whose sum is σ = 165241188. Its totient is φ = 41478144.

The previous prime is 83444117. The next prime is 83444167. The reversal of 83444128 is 82144438.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79067664 + 4376464 = 8892^2 + 2092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83444093 and 83444102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2001 + ... + 13072.

Almost surely, 283444128 is an apocalyptic number.

It is an amenable number.

83444128 is a deficient number, since it is larger than the sum of its proper divisors (81797060).

83444128 is a wasteful number, since it uses less digits than its factorization.

83444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256 (or 15248 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 83444128 is about 9134.7757498474. The cubic root of 83444128 is about 436.9837227554.

The spelling of 83444128 in words is "eighty-three million, four hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 173 346 692 1384 2768 5536 15073 30146 60292 120584 241168 482336 2607629 5215258 10430516 20861032 41722064 83444128