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138199446 = 2367111231
BaseRepresentation
bin10000011110011…
…00000110010110
3100122001021000000
420033030012112
5240334340241
621414032130
73265450560
oct1017140626
9318037000
10138199446
1171012320
123a348646
1322829928
14144d6330
15c1eceb6
hex83cc196

138199446 has 112 divisors (see below), whose sum is σ = 387813888. Its totient is φ = 35866800.

The previous prime is 138199429. The next prime is 138199447. The reversal of 138199446 is 644991831.

138199446 is a `hidden beast` number, since 13 + 8 + 199 + 446 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138199447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 111651 + ... + 112881.

It is an arithmetic number, because the mean of its divisors is an integer number (3462624).

Almost surely, 2138199446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138199446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193906944).

138199446 is an abundant number, since it is smaller than the sum of its proper divisors (249614442).

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

138199446 is a wasteful number, since it uses less digits than its factorization.

138199446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1254 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 138199446 is about 11755.8260449872. The cubic root of 138199446 is about 517.0137587734.

The spelling of 138199446 in words is "one hundred thirty-eight million, one hundred ninety-nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 729 891 1134 1231 1386 1458 1701 1782 2079 2462 2673 3402 3693 4158 5103 5346 6237 7386 8019 8617 10206 11079 12474 13541 16038 17234 18711 22158 25851 27082 33237 37422 40623 51702 56133 66474 77553 81246 94787 99711 112266 121869 155106 189574 199422 232659 243738 284361 299133 365607 465318 568722 598266 697977 731214 853083 897399 1096821 1395954 1706166 1794798 2093931 2193642 2559249 3290463 4187862 5118498 6281793 6580926 7677747 9871389 12563586 15355494 19742778 23033241 46066482 69099723 138199446