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1682237696 = 287390017
BaseRepresentation
bin110010001000100…
…1110100100000000
311100020102112021212
41210101032210000
511421123101241
6434532105252
756454533036
oct14421164400
94306375255
101682237696
11793641097
123ab465228
1320a69a829
1411d5c0556
159ca45beb
hex6444e900

1682237696 has 36 divisors (see below), whose sum is σ = 3403940652. Its totient is φ = 829587456.

The previous prime is 1682237681. The next prime is 1682237699. The reversal of 1682237696 is 6967322861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1262807296 + 419430400 = 35536^2 + 20480^2 .

It is not an unprimeable number, because it can be changed into a prime (1682237699) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26321 + ... + 63696.

It is an arithmetic number, because the mean of its divisors is an integer number (94553907).

Almost surely, 21682237696 is an apocalyptic number.

1682237696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1682237696 is an abundant number, since it is smaller than the sum of its proper divisors (1721702956).

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

1682237696 is an frugal number, since it uses more digits than its factorization.

1682237696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90106 (or 90092 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 50.

The square root of 1682237696 is about 41015.0910763343. The cubic root of 1682237696 is about 1189.3119615608.

The spelling of 1682237696 in words is "one billion, six hundred eighty-two million, two hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 9344 18688 90017 180034 360068 720136 1440272 2880544 5761088 6571241 11522176 13142482 23044352 26284964 52569928 105139856 210279712 420559424 841118848 1682237696