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138529577 = 1733972017
BaseRepresentation
bin10000100000111…
…00101100101001
3100122200000212002
420100130230221
5240430421302
621425100345
73301324214
oct1020345451
9318600762
10138529577
117121835a
123a4876b5
1322913c84
141458077b
15c265c02
hex841cb29

138529577 has 8 divisors (see below), whose sum is σ = 139750536. Its totient is φ = 137313792.

The previous prime is 138529571. The next prime is 138529619. The reversal of 138529577 is 775925831.

It can be written as a sum of positive squares in 4 ways, for example, as 86415616 + 52113961 = 9296^2 + 7219^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138529577 - 24 = 138529561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138529571) 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 7 ways as a sum of consecutive naturals, for example, 67673 + ... + 69689.

It is an arithmetic number, because the mean of its divisors is an integer number (17468817).

Almost surely, 2138529577 is an apocalyptic number.

It is an amenable number.

138529577 is a deficient number, since it is larger than the sum of its proper divisors (1220959).

138529577 is a wasteful number, since it uses less digits than its factorization.

138529577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587.

The product of its digits is 529200, while the sum is 47.

The square root of 138529577 is about 11769.8588351773. The cubic root of 138529577 is about 517.4251124258.

The spelling of 138529577 in words is "one hundred thirty-eight million, five hundred twenty-nine thousand, five hundred seventy-seven".

Divisors: 1 173 397 2017 68681 348941 800749 138529577