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42129465 = 357231432
BaseRepresentation
bin1010000010110…
…1100000111001
32221021101202120
42200231200321
541241120330
64102551453
71021044300
oct240554071
987241676
1042129465
1121865544
1212138589
138960ba1
145849437
153a72c10
hex282d839

42129465 has 72 divisors (see below), whose sum is σ = 82867968. Its totient is φ = 18204480.

The previous prime is 42129463. The next prime is 42129497. The reversal of 42129465 is 56492124.

It is not a de Polignac number, because 42129465 - 21 = 42129463 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42129463) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 979734 + ... + 979776.

It is an arithmetic number, because the mean of its divisors is an integer number (1150944).

Almost surely, 242129465 is an apocalyptic number.

It is an amenable number.

42129465 is a deficient number, since it is larger than the sum of its proper divisors (40738503).

42129465 is a wasteful number, since it uses less digits than its factorization.

42129465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 42129465 is about 6490.7214545072. The cubic root of 42129465 is about 347.9594598699.

The spelling of 42129465 in words is "forty-two million, one hundred twenty-nine thousand, four hundred sixty-five".

Divisors: 1 3 5 7 15 21 31 35 43 49 93 105 129 147 155 215 217 245 301 465 645 651 735 903 1085 1333 1505 1519 1849 2107 3255 3999 4515 4557 5547 6321 6665 7595 9245 9331 10535 12943 19995 22785 27735 27993 31605 38829 46655 57319 64715 65317 90601 139965 171957 194145 195951 271803 286595 326585 401233 453005 859785 979755 1203699 1359015 2006165 2808631 6018495 8425893 14043155 42129465