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1683257376 = 253157111161
BaseRepresentation
bin110010001010100…
…0111100000100000
311100022100100000210
41210111013200200
511421403214001
6435010014120
756466310623
oct14425074040
94308310023
101683257376
117941781a9
123ab877340
1320a9669a8
1411d7a7dba
159cb97dd6
hex64547820

1683257376 has 48 divisors (see below), whose sum is σ = 4421759328. Its totient is φ = 560678400.

The previous prime is 1683257357. The next prime is 1683257377. The reversal of 1683257376 is 6737523861.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1683257377) 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 7 ways as a sum of consecutive naturals, for example, 145236 + ... + 156396.

It is an arithmetic number, because the mean of its divisors is an integer number (92119986).

Almost surely, 21683257376 is an apocalyptic number.

1683257376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1683257376 is an abundant number, since it is smaller than the sum of its proper divisors (2738501952).

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

1683257376 is a wasteful number, since it uses less digits than its factorization.

1683257376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12745 (or 12737 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 1683257376 is about 41027.5197398039. The cubic root of 1683257376 is about 1189.5522115324.

The spelling of 1683257376 in words is "one billion, six hundred eighty-three million, two hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1571 3142 4713 6284 9426 11161 12568 18852 22322 25136 33483 37704 44644 50272 66966 75408 89288 133932 150816 178576 267864 357152 535728 1071456 17533931 35067862 52601793 70135724 105203586 140271448 210407172 280542896 420814344 561085792 841628688 1683257376