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42092766 = 23211711997
BaseRepresentation
bin1010000010010…
…0100011011110
32221012112102100
42200210203132
541233432031
64102105530
71020532302
oct240444336
987175370
1042092766
112183aa11
121211b2a6
13894a281
145839d02
153a66de6
hex28248de

42092766 has 24 divisors (see below), whose sum is σ = 91324584. Its totient is φ = 14011920.

The previous prime is 42092747. The next prime is 42092797. The reversal of 42092766 is 66729024.

It is a happy number.

It is a super-3 number, since 3×420927663 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42092766.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20080 + ... + 22076.

It is an arithmetic number, because the mean of its divisors is an integer number (3805191).

Almost surely, 242092766 is an apocalyptic number.

42092766 is an abundant number, since it is smaller than the sum of its proper divisors (49231818).

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

42092766 is a wasteful number, since it uses less digits than its factorization.

42092766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42092766 is about 6487.8938030766. The cubic root of 42092766 is about 347.8583946263.

The spelling of 42092766 in words is "forty-two million, ninety-two thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 1171 1997 2342 3513 3994 5991 7026 10539 11982 17973 21078 35946 2338487 4676974 7015461 14030922 21046383 42092766