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42806862 = 23271811877
BaseRepresentation
bin1010001101001…
…0111001001110
32222112210222100
42203102321032
541424304422
64125255530
71026565230
oct243227116
988483870
1042806862
112218847a
12124045a6
138b3a307
145984250
153b587ac
hex28d2e4e

42806862 has 48 divisors (see below), whose sum is σ = 106640352. Its totient is φ = 12156480.

The previous prime is 42806849. The next prime is 42806873. The reversal of 42806862 is 26860824.

42806862 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21868 + ... + 23744.

It is an arithmetic number, because the mean of its divisors is an integer number (2221674).

Almost surely, 242806862 is an apocalyptic number.

42806862 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42806862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53320176).

42806862 is an abundant number, since it is smaller than the sum of its proper divisors (63833490).

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

42806862 is a wasteful number, since it uses less digits than its factorization.

42806862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42806862 is about 6542.6953161522. The cubic root of 42806862 is about 349.8144921703.

The spelling of 42806862 in words is "forty-two million, eight hundred six thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 1086 1267 1629 1877 2534 3258 3754 3801 5631 7602 11262 11403 13139 16893 22806 26278 33786 39417 78834 118251 236502 339737 679474 1019211 2038422 2378159 3057633 4756318 6115266 7134477 14268954 21403431 42806862