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42965505 = 3351128933
BaseRepresentation
bin1010001111100…
…1101000000001
32222211212121000
42203321220001
541444344010
64132522213
71031125602
oct243715001
988755530
1042965505
1122286690
1212480369
138b9459b
1459c5da9
153b8a7c0
hex28f9a01

42965505 has 32 divisors (see below), whose sum is σ = 83329920. Its totient is φ = 20831040.

The previous prime is 42965459. The next prime is 42965509. The reversal of 42965505 is 50556924.

It is not a de Polignac number, because 42965505 - 214 = 42949121 is a prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42965505.

It is not an unprimeable number, because it can be changed into a prime (42965509) 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 31 ways as a sum of consecutive naturals, for example, 12982 + ... + 15951.

It is an arithmetic number, because the mean of its divisors is an integer number (2604060).

Almost surely, 242965505 is an apocalyptic number.

42965505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42965505 is a deficient number, since it is larger than the sum of its proper divisors (40364415).

42965505 is a wasteful number, since it uses less digits than its factorization.

42965505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28958 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 42965505 is about 6554.8077775019. The cubic root of 42965505 is about 350.2460990262.

It can be divided in two parts, 4296 and 5505, that added together give a square (9801 = 992).

The spelling of 42965505 in words is "forty-two million, nine hundred sixty-five thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 28933 86799 144665 260397 318263 433995 781191 954789 1301985 1591315 2864367 3905955 4773945 8593101 14321835 42965505