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42234112 = 28192457
BaseRepresentation
bin1010000100011…
…1000100000000
32221110201022101
42201013010000
541302442422
64105120144
71021661344
oct241070400
987421271
1042234112
1121927128
1212189054
1389996cb
145875624
153a93c27
hex2847100

42234112 has 54 divisors (see below), whose sum is σ = 89168478. Its totient is φ = 19961856.

The previous prime is 42234109. The next prime is 42234113. The reversal of 42234112 is 21143224.

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 1478656 = 6384^2 + 1216^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 42234112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42234113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92188 + ... + 92644.

Almost surely, 242234112 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 42234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44584239).

42234112 is an abundant number, since it is smaller than the sum of its proper divisors (46934366).

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

42234112 is an equidigital number, since it uses as much as digits as its factorization.

42234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 478 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 42234112 is about 6498.7777312353. Note that the first 4 decimals coincide. The cubic root of 42234112 is about 348.2473249542.

Adding to 42234112 its reverse (21143224), we get a palindrome (63377336).

The spelling of 42234112 in words is "forty-two million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 457 608 722 914 1216 1444 1828 2432 2888 3656 4864 5776 7312 8683 11552 14624 17366 23104 29248 34732 46208 58496 69464 92416 116992 138928 164977 277856 329954 555712 659908 1111424 1319816 2222848 2639632 5279264 10558528 21117056 42234112