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42842536 = 2311716857
BaseRepresentation
bin1010001101101…
…1100110101000
32222121121220121
42203123212220
541431430121
64130133024
71030104232
oct243334650
988547817
1042842536
1122202260
1212421174
138b50619
145993252
153b64141
hex28db9a8

42842536 has 32 divisors (see below), whose sum is σ = 88879680. Its totient is φ = 19196800.

The previous prime is 42842531. The next prime is 42842543. The reversal of 42842536 is 63524824.

42842536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×428425362 = 3670965781822592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42842531) 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 7 ways as a sum of consecutive naturals, for example, 2820 + ... + 9676.

It is an arithmetic number, because the mean of its divisors is an integer number (2777490).

Almost surely, 242842536 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 42842536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44439840).

42842536 is an abundant number, since it is smaller than the sum of its proper divisors (46037144).

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

42842536 is a wasteful number, since it uses less digits than its factorization.

42842536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6941 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 42842536 is about 6545.4209948635. The cubic root of 42842536 is about 349.9116402799.

The spelling of 42842536 in words is "forty-two million, eight hundred forty-two thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 6857 13714 27428 54856 75427 150854 301708 486847 603416 973694 1947388 3894776 5355317 10710634 21421268 42842536