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42826112 = 27747797
BaseRepresentation
bin1010001101011…
…1100110000000
32222120210101022
42203113212000
541430413422
64125525012
71030005320
oct243274600
988523338
1042826112
11221a098a
1212413768
138b45cc4
14598b280
153b5e342
hex28d7980

42826112 has 32 divisors (see below), whose sum is σ = 97507920. Its totient is φ = 18353664.

The previous prime is 42826081. The next prime is 42826117. The reversal of 42826112 is 21162824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42826117) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 23003 + ... + 24794.

Almost surely, 242826112 is an apocalyptic number.

It is an amenable number.

42826112 is an abundant number, since it is smaller than the sum of its proper divisors (54681808).

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

42826112 is an equidigital number, since it uses as much as digits as its factorization.

42826112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47818 (or 47806 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 42826112 is about 6544.1662570567. The cubic root of 42826112 is about 349.8669208348.

Adding to 42826112 its reverse (21162824), we get a palindrome (63988936).

The spelling of 42826112 in words is "forty-two million, eight hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 47797 95594 191188 334579 382376 669158 764752 1338316 1529504 2676632 3059008 5353264 6118016 10706528 21413056 42826112