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138785853 = 3313753761
BaseRepresentation
bin10000100010110…
…11010000111101
3100200011001101210
420101123100331
5241012121403
621434355033
73303442323
oct1021332075
9320131353
10138785853
1171382958
123a58ba79
13229a380b
1414609d13
15c2b6b03
hex845b43d

138785853 has 32 divisors (see below), whose sum is σ = 200143872. Its totient is φ = 85363200.

The previous prime is 138785849. The next prime is 138785863. The reversal of 138785853 is 358587831.

It is a happy number.

It is not a de Polignac number, because 138785853 - 22 = 138785849 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138785813) 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 31 ways as a sum of consecutive naturals, for example, 181993 + ... + 182753.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2138785853 is an apocalyptic number.

It is an amenable number.

138785853 is a deficient number, since it is larger than the sum of its proper divisors (61358019).

138785853 is a wasteful number, since it uses less digits than its factorization.

138785853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885.

The product of its digits is 806400, while the sum is 48.

The square root of 138785853 is about 11780.7407661827. The cubic root of 138785853 is about 517.7439900592.

The spelling of 138785853 in words is "one hundred thirty-eight million, seven hundred eighty-five thousand, eight hundred fifty-three".

Divisors: 1 3 31 37 53 93 111 159 761 1147 1643 1961 2283 3441 4929 5883 23591 28157 40333 60791 70773 84471 120999 182373 872867 1250323 1492321 2618601 3750969 4476963 46261951 138785853