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138358049 is a prime number
BaseRepresentation
bin10000011111100…
…10110100100001
3100122100022120012
420033302310201
5240404424144
621421254305
73300011144
oct1017626441
9318308505
10138358049
11711104a5
123a404395
1322883b8b
141453805b
15c22ee9e
hex83f2d21

138358049 has 2 divisors, whose sum is σ = 138358050. Its totient is φ = 138358048.

The previous prime is 138358027. The next prime is 138358061. The reversal of 138358049 is 940853831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102657424 + 35700625 = 10132^2 + 5975^2 .

It is a cyclic number.

It is not a de Polignac number, because 138358049 - 216 = 138292513 is a prime.

It is a Chen prime.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 138357997 and 138358015.

It is not a weakly prime, because it can be changed into another prime (138358069) 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 as a sum of consecutive naturals, namely, 69179024 + 69179025.

It is an arithmetic number, because the mean of its divisors is an integer number (69179025).

Almost surely, 2138358049 is an apocalyptic number.

It is an amenable number.

138358049 is a deficient number, since it is larger than the sum of its proper divisors (1).

138358049 is an equidigital number, since it uses as much as digits as its factorization.

138358049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 138358049 is about 11762.5698297608. The cubic root of 138358049 is about 517.2114647865.

The spelling of 138358049 in words is "one hundred thirty-eight million, three hundred fifty-eight thousand, forty-nine".