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42916005 = 32511181479
BaseRepresentation
bin1010001110110…
…1100010100101
32222202100200200
42203231202211
541441303010
64131501113
71030531356
oct243554245
988670620
1042916005
1122252480
1212457799
138b77bb2
1459b1d2d
153b7acc0
hex28ed8a5

42916005 has 48 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 20649600.

The previous prime is 42915941. The next prime is 42916009. The reversal of 42916005 is 50061924.

42916005 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 42916005 - 26 = 42915941 is a prime.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 42916005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42916009) 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 47 ways as a sum of consecutive naturals, for example, 89356 + ... + 89834.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 242916005 is an apocalyptic number.

42916005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42916005 is a deficient number, since it is larger than the sum of its proper divisors (38852955).

42916005 is a wasteful number, since it uses less digits than its factorization.

42916005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42916005 is about 6551.0308349145. The cubic root of 42916005 is about 350.1115426796. Note that the first 3 decimals are identical.

Adding to 42916005 its reverse (50061924), we get a palindrome (92977929).

It can be divided in two parts, 4291 and 6005, that added together give a triangular number (10296 = T143).

The spelling of 42916005 in words is "forty-two million, nine hundred sixteen thousand, five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 181 479 495 543 905 1437 1629 1991 2395 2715 4311 5269 5973 7185 8145 9955 15807 17919 21555 26345 29865 47421 79035 86699 89595 237105 260097 433495 780291 953689 1300485 2861067 3901455 4768445 8583201 14305335 42916005