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42861312 = 28351353
BaseRepresentation
bin1010001110000…
…0001100000000
32222122120200000
42203200030000
541433030222
64130400000
71030213044
oct243401400
988576600
1042861312
112221537a
1212430000
138b59030
14599a024
153b699ac
hex28e0300

42861312 has 216 divisors, whose sum is σ = 140619024. Its totient is φ = 12939264.

The previous prime is 42861271. The next prime is 42861319. The reversal of 42861312 is 21316824.

42861312 is a `hidden beast` number, since 42 + 8 + 613 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×428613122 = 3674184132722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (42861319) 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 23 ways as a sum of consecutive naturals, for example, 808678 + ... + 808730.

It is an arithmetic number, because the mean of its divisors is an integer number (651014).

Almost surely, 242861312 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 42861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70309512).

42861312 is an abundant number, since it is smaller than the sum of its proper divisors (97757712).

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

42861312 is an equidigital number, since it uses as much as digits as its factorization.

42861312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42861312 is about 6546.8551228815. The cubic root of 42861312 is about 349.9627497771.

The spelling of 42861312 in words is "forty-two million, eight hundred sixty-one thousand, three hundred twelve".