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112544352 = 253217127181
BaseRepresentation
bin1101011010101…
…00101001100000
321211202211211100
412231110221200
5212302404402
615100114400
72534416434
oct655245140
9254684740
10112544352
115858a268
1231835a00
131a4164bb
1410d389c4
159d3171c
hex6b54a60

112544352 has 144 divisors (see below), whose sum is σ = 343429632. Its totient is φ = 34836480.

The previous prime is 112544323. The next prime is 112544363. The reversal of 112544352 is 253445211.

112544352 is a `hidden beast` number, since 112 + 544 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 621702 + ... + 621882.

It is an arithmetic number, because the mean of its divisors is an integer number (2384928).

Almost surely, 2112544352 is an apocalyptic number.

112544352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112544352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

112544352 is an abundant number, since it is smaller than the sum of its proper divisors (230885280).

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

112544352 is a wasteful number, since it uses less digits than its factorization.

112544352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 112544352 is about 10608.6922851028. The cubic root of 112544352 is about 482.8081230571.

Adding to 112544352 its reverse (253445211), we get a palindrome (365989563).

It can be divided in two parts, 112544 and 352, that added together give a square (112896 = 3362).

The spelling of 112544352 in words is "one hundred twelve million, five hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 127 136 144 153 181 204 254 272 288 306 362 381 408 508 543 544 612 724 762 816 1016 1086 1143 1224 1448 1524 1629 1632 2032 2159 2172 2286 2448 2896 3048 3077 3258 4064 4318 4344 4572 4896 5792 6096 6154 6477 6516 8636 8688 9144 9231 12192 12308 12954 13032 17272 17376 18288 18462 19431 22987 24616 25908 26064 27693 34544 36576 36924 38862 45974 49232 51816 52128 55386 68961 69088 73848 77724 91948 98464 103632 110772 137922 147696 155448 183896 206883 207264 221544 275844 295392 310896 367792 390779 413766 443088 551688 621792 735584 781558 827532 886176 1103376 1172337 1563116 1655064 2206752 2344674 3126232 3310128 3517011 4689348 6252464 6620256 7034022 9378696 12504928 14068044 18757392 28136088 37514784 56272176 112544352