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68145025 = 521321272
BaseRepresentation
bin1000000111111…
…00111110000001
311202020010101211
410003330332001
5114421120100
610432330121
71455136354
oct403747601
9152203354
1068145025
1135514403
121a9a3941
131116c400
14909c29b
155eb11ba
hex40fcf81

68145025 has 27 divisors (see below), whose sum is σ = 92225961. Its totient is φ = 49926240.

The previous prime is 68145023. The next prime is 68145031. The reversal of 68145025 is 52054186.

The square root of 68145025 is 8255.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17564481 + 50580544 = 4191^2 + 7112^2 .

It is not a de Polignac number, because 68145025 - 21 = 68145023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68145023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 536512 + ... + 536638.

Almost surely, 268145025 is an apocalyptic number.

68145025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

68145025 is the 8255-th square number.

68145025 is the 4128-th centered octagonal number.

It is an amenable number.

68145025 is a deficient number, since it is larger than the sum of its proper divisors (24080936).

68145025 is a wasteful number, since it uses less digits than its factorization.

68145025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The cubic root of 68145025 is about 408.4554718159.

The spelling of 68145025 in words is "sixty-eight million, one hundred forty-five thousand, twenty-five".

Divisors: 1 5 13 25 65 127 169 325 635 845 1651 3175 4225 8255 16129 21463 41275 80645 107315 209677 403225 536575 1048385 2725801 5241925 13629005 68145025