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68457141 = 32371671231
BaseRepresentation
bin1000001010010…
…01001010110101
311202210222112200
410011021022311
5120011112031
610443135113
71460606334
oct405111265
9152728480
1068457141
1135707955
121ab14499
131124b4ac
14913dd1b
1560238e6
hex41492b5

68457141 has 24 divisors (see below), whose sum is σ = 102246144. Its totient is φ = 44102880.

The previous prime is 68457127. The next prime is 68457143. The reversal of 68457141 is 14175486.

It is a happy number.

68457141 is a `hidden beast` number, since 6 + 84 + 571 + 4 + 1 = 666.

It is not a de Polignac number, because 68457141 - 219 = 67932853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 68457096 and 68457105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68457143) 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 23 ways as a sum of consecutive naturals, for example, 54996 + ... + 56226.

It is an arithmetic number, because the mean of its divisors is an integer number (4260256).

Almost surely, 268457141 is an apocalyptic number.

It is an amenable number.

68457141 is a deficient number, since it is larger than the sum of its proper divisors (33789003).

68457141 is a wasteful number, since it uses less digits than its factorization.

68457141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1438 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 68457141 is about 8273.8830666139. The cubic root of 68457141 is about 409.0781210683.

The spelling of 68457141 in words is "sixty-eight million, four hundred fifty-seven thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 167 333 501 1231 1503 3693 6179 11079 18537 45547 55611 136641 205577 409923 616731 1850193 7606349 22819047 68457141