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42187068 = 22347111989
BaseRepresentation
bin1010000011101…
…1100100111100
32221101022210000
42200323210330
541244441233
64104114300
71021404240
oct240734474
987338700
1042187068
11218a4850
1212165990
138981181
145862420
153a84d13
hex283b93c

42187068 has 240 divisors, whose sum is σ = 146361600. Its totient is φ = 10264320.

The previous prime is 42187043. The next prime is 42187069. The reversal of 42187068 is 86078124.

42187068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42187069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 473968 + ... + 474056.

It is an arithmetic number, because the mean of its divisors is an integer number (609840).

Almost surely, 242187068 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 42187068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

42187068 is an abundant number, since it is smaller than the sum of its proper divisors (104174532).

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

42187068 is a wasteful number, since it uses less digits than its factorization.

42187068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 42187068 is about 6495.1572729227. The cubic root of 42187068 is about 348.1179742702.

The spelling of 42187068 in words is "forty-two million, one hundred eighty-seven thousand, sixty-eight".