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42292791 = 32231731181
BaseRepresentation
bin1010000101010…
…1011000110111
32221120200210200
42201111120313
541311332131
64110251543
71022324412
oct241253067
987520720
1042292791
1121967222
12121b6bb3
1389ba328
14588cb79
153aa62e6
hex2855637

42292791 has 24 divisors (see below), whose sum is σ = 64168416. Its totient is φ = 26790720.

The previous prime is 42292777. The next prime is 42292799. The reversal of 42292791 is 19729224.

42292791 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 42292791 - 217 = 42161719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42292799) 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, 35221 + ... + 36401.

It is an arithmetic number, because the mean of its divisors is an integer number (2673684).

Almost surely, 242292791 is an apocalyptic number.

42292791 is a deficient number, since it is larger than the sum of its proper divisors (21875625).

42292791 is a wasteful number, since it uses less digits than its factorization.

42292791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1380 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 42292791 is about 6503.2907823655. The cubic root of 42292791 is about 348.4085323073.

The spelling of 42292791 in words is "forty-two million, two hundred ninety-two thousand, seven hundred ninety-one".

Divisors: 1 3 9 23 69 173 207 519 1181 1557 3543 3979 10629 11937 27163 35811 81489 204313 244467 612939 1838817 4699199 14097597 42292791