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42569415 = 3357107421
BaseRepresentation
bin1010001001100…
…0111011000111
32222002202021000
42202120323013
541344210130
64120224343
71024556040
oct242307307
988082230
1042569415
1122036039
121230b0b3
138a86205
1459218c7
153b0d260
hex2898ec7

42569415 has 64 divisors (see below), whose sum is σ = 87505920. Its totient is φ = 19232640.

The previous prime is 42569413. The next prime is 42569447. The reversal of 42569415 is 51496524.

42569415 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 42569415 - 21 = 42569413 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42569415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42569413) 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 63 ways as a sum of consecutive naturals, for example, 100905 + ... + 101325.

It is an arithmetic number, because the mean of its divisors is an integer number (1367280).

Almost surely, 242569415 is an apocalyptic number.

42569415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42569415 is an abundant number, since it is smaller than the sum of its proper divisors (44936505).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42569415 is a wasteful number, since it uses less digits than its factorization.

42569415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

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

The square root of 42569415 is about 6524.5241205777. The cubic root of 42569415 is about 349.1664928112.

The spelling of 42569415 in words is "forty-two million, five hundred sixty-nine thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 107 135 189 315 321 421 535 749 945 963 1263 1605 2105 2247 2889 2947 3745 3789 4815 6315 6741 8841 11235 11367 14445 14735 18945 20223 26523 33705 44205 45047 56835 79569 101115 132615 135141 225235 315329 397845 405423 675705 945987 1216269 1576645 2027115 2837961 4729935 6081345 8513883 14189805 42569415