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42875712 = 26321167101
BaseRepresentation
bin1010001110001…
…1101101000000
32222200022102100
42203203231000
541434010322
64130550400
71030303035
oct243435500
988608370
1042875712
1122225180
1212438400
138b62759
1459a138c
153b6ddac
hex28e3b40

42875712 has 168 divisors, whose sum is σ = 137416032. Its totient is φ = 12672000.

The previous prime is 42875699. The next prime is 42875719. The reversal of 42875712 is 21757824.

42875712 is a `hidden beast` number, since 4 + 2 + 87 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42875719) 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, 424462 + ... + 424562.

Almost surely, 242875712 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 42875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68708016).

42875712 is an abundant number, since it is smaller than the sum of its proper divisors (94540320).

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

42875712 is a wasteful number, since it uses less digits than its factorization.

42875712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 42875712 is about 6547.9547952013. The cubic root of 42875712 is about 350.0019374042.

It can be divided in two parts, 4287 and 5712, that added together give a palindrome (9999).

The spelling of 42875712 in words is "forty-two million, eight hundred seventy-five thousand, seven hundred twelve".