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112648239 = 3511173767
BaseRepresentation
bin1101011011011…
…10000000101111
321211222010100000
412231232000233
5212314220424
615102235343
72535331344
oct655560057
9254863300
10112648239
1158650320
1231885b53
131a451882
1410d647cb
159d523c9
hex6b6e02f

112648239 has 96 divisors (see below), whose sum is σ = 203164416. Its totient is φ = 61585920.

The previous prime is 112648223. The next prime is 112648247. The reversal of 112648239 is 932846211.

112648239 is a `hidden beast` number, since 1 + 1 + 2 + 648 + 2 + 3 + 9 = 666.

It is not a de Polignac number, because 112648239 - 24 = 112648223 is a prime.

It is a super-2 number, since 2×1126482392 = 25379251499602242, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112648219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1681284 + ... + 1681350.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2112648239 is an apocalyptic number.

112648239 is a deficient number, since it is larger than the sum of its proper divisors (90516177).

112648239 is a wasteful number, since it uses less digits than its factorization.

112648239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 112648239 is about 10613.5874707848. The cubic root of 112648239 is about 482.9566335818.

It can be divided in two parts, 11264 and 8239, that added together give a triangular number (19503 = T197).

The spelling of 112648239 in words is "one hundred twelve million, six hundred forty-eight thousand, two hundred thirty-nine".

Divisors: 1 3 9 11 17 27 33 37 51 67 81 99 111 153 187 201 243 297 333 407 459 561 603 629 737 891 999 1139 1221 1377 1683 1809 1887 2211 2479 2673 2997 3417 3663 4131 5049 5427 5661 6633 6919 7437 8991 10251 10989 12529 15147 16281 16983 19899 20757 22311 27269 30753 32967 37587 42143 45441 50949 59697 62271 66933 81807 92259 98901 112761 126429 152847 179091 186813 200799 245421 276777 338283 379287 463573 560439 602397 736263 1014849 1137861 1390719 1681317 2208789 3044547 3413583 4172157 6626367 10240749 12516471 37549413 112648239