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1682048849 = 131012634871
BaseRepresentation
bin110010001000010…
…0000011101010001
311100020001221020112
41210100200131101
511421101030344
6434524051105
756453115335
oct14420403521
94306057215
101682048849
11793522218
123ab393a95
1320a6328a0
1411d5717c5
159ca09c9e
hex64420751

1682048849 has 16 divisors (see below), whose sum is σ = 1836705024. Its totient is φ = 1531128000.

The previous prime is 1682048839. The next prime is 1682048861. The reversal of 1682048849 is 9488402861.

It is a cyclic number.

It is not a de Polignac number, because 1682048849 - 28 = 1682048593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1682048797 and 1682048806.

It is not an unprimeable number, because it can be changed into a prime (1682048839) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 342884 + ... + 347754.

It is an arithmetic number, because the mean of its divisors is an integer number (114794064).

Almost surely, 21682048849 is an apocalyptic number.

It is an amenable number.

1682048849 is a deficient number, since it is larger than the sum of its proper divisors (154656175).

1682048849 is a wasteful number, since it uses less digits than its factorization.

1682048849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248.

The product of its (nonzero) digits is 884736, while the sum is 50.

The square root of 1682048849 is about 41012.7888468951. The cubic root of 1682048849 is about 1189.2674560783.

The spelling of 1682048849 in words is "one billion, six hundred eighty-two million, forty-eight thousand, eight hundred forty-nine".

Divisors: 1 13 101 263 1313 3419 4871 26563 63323 345319 491971 1281073 6395623 16653949 129388373 1682048849