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112876544 = 210112911
BaseRepresentation
bin1101011101001…
…01110000000000
321212101201111202
412232211300000
5212344022134
615111200332
72540302064
oct656456000
9255351452
10112876544
1158796900
12319760a8
131a501771
1410dc3aa4
159d99d7e
hex6ba5c00

112876544 has 66 divisors (see below), whose sum is σ = 248292912. Its totient is φ = 51251200.

The previous prime is 112876537. The next prime is 112876553. The reversal of 112876544 is 445678211.

It is a super-2 number, since 2×1128765442 = 25482228370767872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112876498 and 112876507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123449 + ... + 124359.

Almost surely, 2112876544 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 112876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146456).

112876544 is an abundant number, since it is smaller than the sum of its proper divisors (135416368).

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

112876544 is an equidigital number, since it uses as much as digits as its factorization.

112876544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 924 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 112876544 is about 10624.3373440417. The cubic root of 112876544 is about 483.2826839778.

The spelling of 112876544 in words is "one hundred twelve million, eight hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 911 968 1024 1408 1822 1936 2816 3644 3872 5632 7288 7744 10021 11264 14576 15488 20042 29152 30976 40084 58304 61952 80168 110231 116608 123904 160336 220462 233216 320672 440924 466432 641344 881848 932864 1282688 1763696 2565376 3527392 5130752 7054784 10261504 14109568 28219136 56438272 112876544