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138828831 = 3109457929
BaseRepresentation
bin10000100011001…
…01110000011111
3100200020020100120
420101211300133
5241020010311
621435330023
73304011531
oct1021456037
9320206316
10138828831
1171402179
123a5b0913
13229ba24b
141461b851
15c2c4706
hex8465c1f

138828831 has 16 divisors (see below), whose sum is σ = 187413600. Its totient is φ = 91404288.

The previous prime is 138828827. The next prime is 138828841.

It is a happy number.

138828831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138828831 - 22 = 138828827 is a prime.

It is a super-2 number, since 2×1388288312 = 38546888633653122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138828841) 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 15 ways as a sum of consecutive naturals, for example, 148975 + ... + 149903.

It is an arithmetic number, because the mean of its divisors is an integer number (11713350).

Almost surely, 2138828831 is an apocalyptic number.

138828831 is a deficient number, since it is larger than the sum of its proper divisors (48584769).

138828831 is a wasteful number, since it uses less digits than its factorization.

138828831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498.

The product of its digits is 73728, while the sum is 42.

The square root of 138828831 is about 11782.5647038325. The cubic root of 138828831 is about 517.7974280339.

The spelling of 138828831 in words is "one hundred thirty-eight million, eight hundred twenty-eight thousand, eight hundred thirty-one".

Divisors: 1 3 109 327 457 929 1371 2787 49813 101261 149439 303783 424553 1273659 46276277 138828831