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112142448 = 24331123599
BaseRepresentation
bin1101010111100…
…10100001110000
321211000102112000
412223302201300
5212202024243
615043334000
72531123625
oct653624160
9254012460
10112142448
1158335310
1231681300
131a3055a2
1410c7234c
159ca25d3
hex6af2870

112142448 has 80 divisors (see below), whose sum is σ = 351168000. Its totient is φ = 33981120.

The previous prime is 112142413. The next prime is 112142467. The reversal of 112142448 is 844241211.

112142448 is a `hidden beast` number, since 1 + 1 + 214 + 2 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7048 + ... + 16551.

It is an arithmetic number, because the mean of its divisors is an integer number (4389600).

Almost surely, 2112142448 is an apocalyptic number.

112142448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112142448 is an abundant number, since it is smaller than the sum of its proper divisors (239025552).

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

112142448 is a wasteful number, since it uses less digits than its factorization.

112142448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23627 (or 23615 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 112142448 is about 10589.7331411136. The cubic root of 112142448 is about 482.2327233688.

Adding to 112142448 its reverse (844241211), we get a palindrome (956383659).

The spelling of 112142448 in words is "one hundred twelve million, one hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 23599 47198 70797 94396 141594 188792 212391 259589 283188 377584 424782 519178 566376 637173 778767 849564 1038356 1132752 1274346 1557534 1699128 2076712 2336301 2548692 3115068 3398256 4153424 4672602 5097384 6230136 7008903 9345204 10194768 12460272 14017806 18690408 28035612 37380816 56071224 112142448