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1688241457 = 717471511999
BaseRepresentation
bin110010010100000…
…1000010100110001
311100122201112220101
41210220020110301
511424142211312
6435304512401
756556546520
oct14450102461
94318645811
101688241457
11796a71881
123b147b701
1320b9c0456
141203044b7
159d32ea57
hex64a08531

1688241457 has 32 divisors (see below), whose sum is σ = 2101248000. Its totient is φ = 1323475200.

The previous prime is 1688241427. The next prime is 1688241473. The reversal of 1688241457 is 7541428861.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1688241457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1688241407) 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 31 ways as a sum of consecutive naturals, for example, 843544 + ... + 845542.

It is an arithmetic number, because the mean of its divisors is an integer number (65664000).

Almost surely, 21688241457 is an apocalyptic number.

1688241457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1688241457 is a deficient number, since it is larger than the sum of its proper divisors (413006543).

1688241457 is a wasteful number, since it uses less digits than its factorization.

1688241457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221.

The product of its digits is 430080, while the sum is 46.

The square root of 1688241457 is about 41088.2155489868. The cubic root of 1688241457 is about 1190.7251322771.

The spelling of 1688241457 in words is "one billion, six hundred eighty-eight million, two hundred forty-one thousand, four hundred fifty-seven".

Divisors: 1 7 17 47 119 151 329 799 1057 1999 2567 5593 7097 13993 17969 33983 49679 93953 120649 237881 301849 657671 844543 1597201 2112943 5131433 11180407 14186903 35920031 99308321 241177351 1688241457