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138431808 = 263380111
BaseRepresentation
bin10000100000001…
…00110101000000
3100122111001202000
420100010311000
5240414304213
621423024000
73300436164
oct1020046500
9318431660
10138431808
1171160959
123a43b000
13228ab618
1414556ca4
15c246c73
hex8404d40

138431808 has 56 divisors (see below), whose sum is σ = 406968960. Its totient is φ = 46143360.

The previous prime is 138431803. The next prime is 138431809. The reversal of 138431808 is 808134831.

It is a super-2 number, since 2×1384318082 = 38326730932297728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138431803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38328 + ... + 41783.

Almost surely, 2138431808 is an apocalyptic number.

138431808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138431808 is an abundant number, since it is smaller than the sum of its proper divisors (268537152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138431808 is an equidigital number, since it uses as much as digits as its factorization.

138431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80132 (or 80116 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 138431808 is about 11765.7047387736. The cubic root of 138431808 is about 517.3033573401.

It can be divided in two parts, 13843 and 1808, that added together give a palindrome (15651).

The spelling of 138431808 in words is "one hundred thirty-eight million, four hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 80111 160222 240333 320444 480666 640888 720999 961332 1281776 1441998 1922664 2162997 2563552 2883996 3845328 4325994 5127104 5767992 7690656 8651988 11535984 15381312 17303976 23071968 34607952 46143936 69215904 138431808