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138908448 = 2532768903
BaseRepresentation
bin10000100011110…
…01001100100000
3100200101021120100
420101321030200
5241030032243
621441142400
73304462620
oct1021711440
9320337510
10138908448
1171456a78
123a62aa00
1322a17563
141463c880
15c2dd0d3
hex8479320

138908448 has 72 divisors (see below), whose sum is σ = 451459008. Its totient is φ = 39687552.

The previous prime is 138908417. The next prime is 138908467. The reversal of 138908448 is 844809831.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32436 + ... + 36467.

It is an arithmetic number, because the mean of its divisors is an integer number (6270264).

Almost surely, 2138908448 is an apocalyptic number.

138908448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138908448 is an abundant number, since it is smaller than the sum of its proper divisors (312550560).

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

138908448 is a wasteful number, since it uses less digits than its factorization.

138908448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68926 (or 68915 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 138908448 is about 11785.9428133688. The cubic root of 138908448 is about 517.8963930669.

The spelling of 138908448 in words is "one hundred thirty-eight million, nine hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 68903 137806 206709 275612 413418 482321 551224 620127 826836 964642 1102448 1240254 1446963 1653672 1929284 2204896 2480508 2893926 3307344 3858568 4340889 4961016 5787852 6614688 7717136 8681778 9922032 11575704 15434272 17363556 19844064 23151408 34727112 46302816 69454224 138908448