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1682426368 = 297267061
BaseRepresentation
bin110010001000111…
…1100101000000000
311100020210010002201
41210101330220000
511421200120433
6434540122544
756456250100
oct14421745000
94306703081
101682426368
1179375a917
123ab536454
1320a73567c
1411d62d200
159ca81a7d
hex6447ca00

1682426368 has 60 divisors (see below), whose sum is σ = 3910452282. Its totient is φ = 721029120.

The previous prime is 1682426357. The next prime is 1682426407. The reversal of 1682426368 is 8636242861.

It can be written as a sum of positive squares in only one way, i.e., 1527871744 + 154554624 = 39088^2 + 12432^2 .

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 5 ways as a sum of consecutive naturals, for example, 8443 + ... + 58618.

Almost surely, 21682426368 is an apocalyptic number.

It is an amenable number.

1682426368 is an abundant number, since it is smaller than the sum of its proper divisors (2228025914).

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

1682426368 is an frugal number, since it uses more digits than its factorization.

1682426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67093 (or 67070 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 1682426368 is about 41017.3910433123. The cubic root of 1682426368 is about 1189.3564224751.

The spelling of 1682426368 in words is "one billion, six hundred eighty-two million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 3136 3584 6272 12544 25088 67061 134122 268244 469427 536488 938854 1072976 1877708 2145952 3285989 3755416 4291904 6571978 7510832 8583808 13143956 15021664 17167616 26287912 30043328 34335232 52575824 60086656 105151648 120173312 210303296 240346624 420606592 841213184 1682426368