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42242431 = 711253941
BaseRepresentation
bin1010000100100…
…1000101111111
32221111010201111
42201021011333
541303224211
64105222451
71022024530
oct241110577
987433644
1042242431
1121932400
1212191a27
1389a042a
145878687
153a96421
hex284917f

42242431 has 24 divisors (see below), whose sum is σ = 54123552. Its totient is φ = 32260800.

The previous prime is 42242413. The next prime is 42242437. The reversal of 42242431 is 13424224.

It is a happy number.

42242431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42242431 - 27 = 42242303 is a prime.

It is a super-2 number, since 2×422424312 = 3568845953579522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242437) 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 23 ways as a sum of consecutive naturals, for example, 44421 + ... + 45361.

It is an arithmetic number, because the mean of its divisors is an integer number (2255148).

Almost surely, 242242431 is an apocalyptic number.

42242431 is a deficient number, since it is larger than the sum of its proper divisors (11881121).

42242431 is a wasteful number, since it uses less digits than its factorization.

42242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 42242431 is about 6499.4177431521. The cubic root of 42242431 is about 348.2701886156.

Adding to 42242431 its reverse (13424224), we get a palindrome (55666655).

The spelling of 42242431 in words is "forty-two million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 53 77 121 371 583 847 941 4081 6413 6587 10351 44891 49873 72457 113861 349111 548603 797027 3840221 6034633 42242431