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112852124 = 22711438521
BaseRepresentation
bin1101011100111…
…11110010011100
321212100111000022
412232133302130
5212342231444
615110451312
72540140640
oct656376234
9255314008
10112852124
115877a520
1231963b38
131a4c3608
1410db8c20
159d929ee
hex6b9fc9c

112852124 has 48 divisors (see below), whose sum is σ = 251978496. Its totient is φ = 42940800.

The previous prime is 112852067. The next prime is 112852139. The reversal of 112852124 is 421258211.

It is a super-2 number, since 2×1128521242 = 25471203782622752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112852093 and 112852102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8984 + ... + 17504.

It is an arithmetic number, because the mean of its divisors is an integer number (5249552).

Almost surely, 2112852124 is an apocalyptic number.

112852124 is a gapful number since it is divisible by the number (14) 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 112852124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125989248).

112852124 is an abundant number, since it is smaller than the sum of its proper divisors (139126372).

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

112852124 is a wasteful number, since it uses less digits than its factorization.

112852124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 8584 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 112852124 is about 10623.1880337307. The cubic root of 112852124 is about 483.2478299272.

The spelling of 112852124 in words is "one hundred twelve million, eight hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 473 602 946 1204 1892 3311 6622 8521 13244 17042 34084 59647 93731 119294 187462 238588 366403 374924 656117 732806 1312234 1465612 2564821 2624468 4030433 5129642 8060866 10259284 16121732 28213031 56426062 112852124