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42806844 = 22324327653
BaseRepresentation
bin1010001101001…
…0111000111100
32222112210221200
42203102320330
541424304334
64125255500
71026565203
oct243227074
988483850
1042806844
1122188463
1212404590
138b3a2c2
14598423a
153b58799
hex28d2e3c

42806844 has 36 divisors (see below), whose sum is σ = 110726616. Its totient is φ = 13936608.

The previous prime is 42806837. The next prime is 42806849. The reversal of 42806844 is 44860824.

42806844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 42806799 and 42806808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42806849) 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 11 ways as a sum of consecutive naturals, for example, 12279 + ... + 15374.

Almost surely, 242806844 is an apocalyptic number.

It is an amenable number.

42806844 is an abundant number, since it is smaller than the sum of its proper divisors (67919772).

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

42806844 is a wasteful number, since it uses less digits than its factorization.

42806844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27706 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42806844 is about 6542.6939405722. The cubic root of 42806844 is about 349.8144431387.

The spelling of 42806844 in words is "forty-two million, eight hundred six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 27653 55306 82959 110612 165918 248877 331836 497754 995508 1189079 2378158 3567237 4756316 7134474 10701711 14268948 21403422 42806844