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138774456 = 233223471783
BaseRepresentation
bin10000100010110…
…00011110111000
3100200010110202200
420101120132320
5241011240311
621434230200
73303364152
oct1021303670
9320113680
10138774456
1171375337
123a585360
132299b582
1414605ad2
15c2b3556
hex84587b8

138774456 has 96 divisors (see below), whose sum is σ = 400757760. Its totient is φ = 43281216.

The previous prime is 138774439. The next prime is 138774473. The reversal of 138774456 is 654477831.

138774456 is a `hidden beast` number, since 138 + 77 + 445 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (138774439) and next prime (138774473).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76941 + ... + 78723.

It is an arithmetic number, because the mean of its divisors is an integer number (4174560).

Almost surely, 2138774456 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 138774456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200378880).

138774456 is an abundant number, since it is smaller than the sum of its proper divisors (261983304).

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

138774456 is a wasteful number, since it uses less digits than its factorization.

138774456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1858 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 138774456 is about 11780.2570430360. The cubic root of 138774456 is about 517.7298174096.

The spelling of 138774456 in words is "one hundred thirty-eight million, seven hundred seventy-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1081 1128 1656 1692 1783 2162 3243 3384 3566 4324 5349 6486 7132 8648 9729 10698 12972 14264 16047 19458 21396 25944 32094 38916 41009 42792 64188 77832 82018 83801 123027 128376 164036 167602 246054 251403 328072 335204 369081 492108 502806 670408 738162 754209 984216 1005612 1476324 1508418 1927423 2011224 2952648 3016836 3854846 5782269 6033672 7709692 11564538 15419384 17346807 23129076 34693614 46258152 69387228 138774456