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42583212 = 22337233179
BaseRepresentation
bin1010001001110…
…0010010101100
32222010110012000
42202130102230
541400130322
64120412300
71024644210
oct242342254
988113160
1042583212
1122045441
1212317090
138a8c589
145926940
153b123ac
hex289c4ac

42583212 has 192 divisors, whose sum is σ = 137625600. Its totient is φ = 11119680.

The previous prime is 42583159. The next prime is 42583217. The reversal of 42583212 is 21238524.

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

It is not an unprimeable number, because it can be changed into a prime (42583217) 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 63 ways as a sum of consecutive naturals, for example, 538989 + ... + 539067.

It is an arithmetic number, because the mean of its divisors is an integer number (716800).

Almost surely, 242583212 is an apocalyptic number.

42583212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42583212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68812800).

42583212 is an abundant number, since it is smaller than the sum of its proper divisors (95042388).

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

42583212 is a wasteful number, since it uses less digits than its factorization.

42583212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42583212 is about 6525.5813534121. The cubic root of 42583212 is about 349.2042110473.

The spelling of 42583212 in words is "forty-two million, five hundred eighty-three thousand, two hundred twelve".