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138175248 = 24341611151
BaseRepresentation
bin10000011110001…
…10001100010000
3100122000000210210
420033012030100
5240333101443
621413324120
73265320201
oct1017061420
9318000723
10138175248
1170aa6122
123a336640
132281b903
14144cb5a8
15c1e5c33
hex83c6310

138175248 has 80 divisors (see below), whose sum is σ = 371976192. Its totient is φ = 44160000.

The previous prime is 138175223. The next prime is 138175319. The reversal of 138175248 is 842571831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119473 + ... + 120623.

Almost surely, 2138175248 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 138175248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

138175248 is an abundant number, since it is smaller than the sum of its proper divisors (233800944).

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

138175248 is a wasteful number, since it uses less digits than its factorization.

138175248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 138175248 is about 11754.7968081120. The cubic root of 138175248 is about 516.9835815440.

The spelling of 138175248 in words is "one hundred thirty-eight million, one hundred seventy-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 61 82 122 123 164 183 244 246 328 366 488 492 656 732 976 984 1151 1464 1968 2302 2501 2928 3453 4604 5002 6906 7503 9208 10004 13812 15006 18416 20008 27624 30012 40016 47191 55248 60024 70211 94382 120048 140422 141573 188764 210633 280844 283146 377528 421266 561688 566292 755056 842532 1123376 1132584 1685064 2265168 2878651 3370128 5757302 8635953 11514604 17271906 23029208 34543812 46058416 69087624 138175248