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138831248 = 24174159211
BaseRepresentation
bin10000100011001…
…10010110010000
3100200020100200002
420101212112100
5241020044443
621435345132
73304021553
oct1021462620
9320210602
10138831248
1171403a76
123a5b21a8
13229bb38a
141461c69a
15c2c52b8
hex8466590

138831248 has 80 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 62361600.

The previous prime is 138831247. The next prime is 138831263. The reversal of 138831248 is 842138831.

It is not an unprimeable number, because it can be changed into a prime (138831247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657863 + ... + 658073.

It is an arithmetic number, because the mean of its divisors is an integer number (3726324).

Almost surely, 2138831248 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 138831248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149052960).

138831248 is an abundant number, since it is smaller than the sum of its proper divisors (159274672).

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

138831248 is a wasteful number, since it uses less digits than its factorization.

138831248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 138831248 is about 11782.6672701897. The cubic root of 138831248 is about 517.8004329552.

The spelling of 138831248 in words is "one hundred thirty-eight million, eight hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 41 59 68 82 118 136 164 211 236 272 328 422 472 656 697 844 944 1003 1394 1688 2006 2419 2788 3376 3587 4012 4838 5576 7174 8024 8651 9676 11152 12449 14348 16048 17302 19352 24898 28696 34604 38704 41123 49796 57392 69208 82246 99592 138416 147067 164492 199184 211633 294134 328984 423266 510409 588268 657968 846532 1020818 1176536 1693064 2041636 2353072 3386128 4083272 8166544 8676953 17353906 34707812 69415624 138831248