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138823445 = 5173721193
BaseRepresentation
bin10000100011001…
…00011100010101
3100200012221222002
420101210130111
5241014322240
621435245045
73303660035
oct1021443425
9320187862
10138823445
11713a9122
123a5a9785
13229b7967
14146198c5
15c2c2d15
hex8464715

138823445 has 24 divisors (see below), whose sum is σ = 181435464. Its totient is φ = 101615616.

The previous prime is 138823429. The next prime is 138823453. The reversal of 138823445 is 544328831.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2937796 + 135885649 = 1714^2 + 11657^2 .

It is not a de Polignac number, because 138823445 - 24 = 138823429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138823399 and 138823408.

It is a congruent number.

It is an unprimeable number.

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, 115769 + ... + 116961.

It is an arithmetic number, because the mean of its divisors is an integer number (7559811).

Almost surely, 2138823445 is an apocalyptic number.

It is an amenable number.

138823445 is a deficient number, since it is larger than the sum of its proper divisors (42612019).

138823445 is a wasteful number, since it uses less digits than its factorization.

138823445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1252 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 138823445 is about 11782.3361435668. The cubic root of 138823445 is about 517.7907317951.

The spelling of 138823445 in words is "one hundred thirty-eight million, eight hundred twenty-three thousand, four hundred forty-five".

Divisors: 1 5 17 37 85 185 629 1193 1369 3145 5965 6845 20281 23273 44141 101405 116365 220705 750397 1633217 3751985 8166085 27764689 138823445