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42909657 = 3719414361
BaseRepresentation
bin1010001110101…
…1111111011001
32222202000222120
42203223333121
541441102112
64131411453
71030504020
oct243537731
988660876
1042909657
112224872a
1212453b89
138b7503b
1459ad8b7
153b78e8c
hex28ebfd9

42909657 has 64 divisors (see below), whose sum is σ = 73328640. Its totient is φ = 21772800.

The previous prime is 42909653. The next prime is 42909679. The reversal of 42909657 is 75690924.

It is not a de Polignac number, because 42909657 - 22 = 42909653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42909653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703407 + ... + 703467.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 242909657 is an apocalyptic number.

It is an amenable number.

42909657 is a deficient number, since it is larger than the sum of its proper divisors (30418983).

42909657 is a wasteful number, since it uses less digits than its factorization.

42909657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 42909657 is about 6550.5463130948. The cubic root of 42909657 is about 350.0942793636.

The spelling of 42909657 in words is "forty-two million, nine hundred nine thousand, six hundred fifty-seven".

Divisors: 1 3 7 19 21 41 43 57 61 123 129 133 183 287 301 399 427 779 817 861 903 1159 1281 1763 2337 2451 2501 2623 3477 5289 5453 5719 7503 7869 8113 12341 16359 17157 17507 18361 24339 33497 37023 47519 49837 52521 55083 100491 107543 142557 149511 234479 322629 332633 348859 703437 752801 997899 1046577 2043317 2258403 6129951 14303219 42909657