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138380448 = 2531441463
BaseRepresentation
bin10000011111110…
…00010010100000
3100122101110021210
420033320102200
5240411133243
621421550120
73300133353
oct1017702240
9318343253
10138380448
1171126308
123a415340
132289112b
141454229a
15c236933
hex83f84a0

138380448 has 24 divisors (see below), whose sum is σ = 363248928. Its totient is φ = 46126784.

The previous prime is 138380441. The next prime is 138380449. The reversal of 138380448 is 844083831.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (138380441) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 720636 + ... + 720827.

It is an arithmetic number, because the mean of its divisors is an integer number (15135372).

Almost surely, 2138380448 is an apocalyptic number.

It is an amenable number.

138380448 is an abundant number, since it is smaller than the sum of its proper divisors (224868480).

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

138380448 is a wasteful number, since it uses less digits than its factorization.

138380448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441476 (or 1441468 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 138380448 is about 11763.5219216015. The cubic root of 138380448 is about 517.2393740036.

The spelling of 138380448 in words is "one hundred thirty-eight million, three hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1441463 2882926 4324389 5765852 8648778 11531704 17297556 23063408 34595112 46126816 69190224 138380448