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42674112 = 26321341139
BaseRepresentation
bin1010001011001…
…0011111000000
32222022001212200
42202302133000
541411032422
64122353200
71025503215
oct242623700
988261780
1042674112
11220a7768
121235b800
138ac1a70
14594bb0c
153b2e2ac
hex28b27c0

42674112 has 168 divisors, whose sum is σ = 135910320. Its totient is φ = 12718080.

The previous prime is 42674081. The next prime is 42674113. The reversal of 42674112 is 21147624.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42674113) 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 23 ways as a sum of consecutive naturals, for example, 306939 + ... + 307077.

It is an arithmetic number, because the mean of its divisors is an integer number (808990).

Almost surely, 242674112 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 42674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67955160).

42674112 is an abundant number, since it is smaller than the sum of its proper divisors (93236208).

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

42674112 is a wasteful number, since it uses less digits than its factorization.

42674112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42674112 is about 6532.5425371749. The cubic root of 42674112 is about 349.4525100179.

The spelling of 42674112 in words is "forty-two million, six hundred seventy-four thousand, one hundred twelve".