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42938505 = 345971093
BaseRepresentation
bin1010001111001…
…1000010001001
32222210111120000
42203303002021
541443013010
64132153213
71030654101
oct243630211
988714500
1042938505
1122268375
1212468809
138b851cc
1459ba201
153b827c0
hex28f3089

42938505 has 40 divisors (see below), whose sum is σ = 77835912. Its totient is φ = 22643712.

The previous prime is 42938477. The next prime is 42938507. The reversal of 42938505 is 50583924.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 28100601 = 3852^2 + 5301^2 .

It is not a de Polignac number, because 42938505 - 27 = 42938377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42938505.

It is not an unprimeable number, because it can be changed into a prime (42938507) 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 39 ways as a sum of consecutive naturals, for example, 38739 + ... + 39831.

Almost surely, 242938505 is an apocalyptic number.

42938505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42938505 is a deficient number, since it is larger than the sum of its proper divisors (34897407).

42938505 is a wasteful number, since it uses less digits than its factorization.

42938505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 42938505 is about 6552.7478968750. The cubic root of 42938505 is about 350.1727174747.

The spelling of 42938505 in words is "forty-two million, nine hundred thirty-eight thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 97 135 291 405 485 873 1093 1455 2619 3279 4365 5465 7857 9837 13095 16395 29511 39285 49185 88533 106021 147555 318063 442665 530105 954189 1590315 2862567 4770945 8587701 14312835 42938505