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138829488 = 2437413183
BaseRepresentation
bin10000100011001…
…01111010110000
3100200020021020220
420101211322300
5241020020423
621435333040
73304013460
oct1021457260
9320207226
10138829488
1171402716
123a5b1180
13229ba635
141461bba0
15c2c49e3
hex8465eb0

138829488 has 40 divisors (see below), whose sum is σ = 409878528. Its totient is φ = 39665472.

The previous prime is 138829469. The next prime is 138829511. The reversal of 138829488 is 884928831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 138829488.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206256 + ... + 206927.

Almost surely, 2138829488 is an apocalyptic number.

It is an amenable number.

138829488 is an abundant number, since it is smaller than the sum of its proper divisors (271049040).

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

138829488 is a wasteful number, since it uses less digits than its factorization.

138829488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413201 (or 413195 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 138829488 is about 11782.5925839774. The cubic root of 138829488 is about 517.7982448488.

It can be divided in two parts, 1388 and 29488, that added together give a triangular number (30876 = T248).

The spelling of 138829488 in words is "one hundred thirty-eight million, eight hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 413183 826366 1239549 1652732 2479098 2892281 3305464 4958196 5784562 6610928 8676843 9916392 11569124 17353686 19832784 23138248 34707372 46276496 69414744 138829488