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42065631 = 3229413931
BaseRepresentation
bin1010000001110…
…1111011011111
32221011011012100
42200131323133
541232100011
64101340143
71020360216
oct240357337
987134170
1042065631
1121821593
1212107653
13893ab0a
14583007d
153a5dd56
hex281dedf

42065631 has 24 divisors (see below), whose sum is σ = 64406160. Its totient is φ = 26409600.

The previous prime is 42065629. The next prime is 42065651. The reversal of 42065631 is 13656024.

42065631 is a `hidden beast` number, since 4 + 2 + 0 + 656 + 3 + 1 = 666.

It is not a de Polignac number, because 42065631 - 21 = 42065629 is a prime.

It is a super-2 number, since 2×420656312 = 3539034622856322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42065595 and 42065604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42065651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8736 + ... + 12666.

It is an arithmetic number, because the mean of its divisors is an integer number (2683590).

Almost surely, 242065631 is an apocalyptic number.

42065631 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42065631 is a deficient number, since it is larger than the sum of its proper divisors (22340529).

42065631 is a wasteful number, since it uses less digits than its factorization.

42065631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42065631 is about 6485.8022634058. The cubic root of 42065631 is about 347.7836298669.

The spelling of 42065631 in words is "forty-two million, sixty-five thousand, six hundred thirty-one".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 3931 10701 11793 35379 113999 161171 341997 483513 1025991 1450539 4673959 14021877 42065631