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138453888 = 2732912433
BaseRepresentation
bin10000100000010…
…10001110000000
3100122112012000210
420100022032000
5240421011023
621423314120
73300560436
oct1020121600
9318465023
10138453888
1171176501
123a44b940
13228b86a1
1414560d56
15c24d593
hex840a380

138453888 has 64 divisors (see below), whose sum is σ = 380480400. Its totient is φ = 44556288.

The previous prime is 138453881. The next prime is 138453901. The reversal of 138453888 is 888354831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138453881) 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, 4920 + ... + 17352.

Almost surely, 2138453888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138453888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190240200).

138453888 is an abundant number, since it is smaller than the sum of its proper divisors (242026512).

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

138453888 is a wasteful number, since it uses less digits than its factorization.

138453888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12479 (or 12467 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 138453888 is about 11766.6430216948. The cubic root of 138453888 is about 517.3308593309.

The spelling of 138453888 in words is "one hundred thirty-eight million, four hundred fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 12433 24866 37299 49732 74598 99464 149196 198928 298392 360557 397856 596784 721114 795712 1081671 1193568 1442228 1591424 2163342 2387136 2884456 4326684 4774272 5768912 8653368 11537824 17306736 23075648 34613472 46151296 69226944 138453888