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42626565 = 3251755721
BaseRepresentation
bin1010001010011…
…0111000000101
32222012122122200
42202212320011
541403022230
64121345113
71025214462
oct242467005
988178580
1042626565
1122074a73
1212338199
138aa6227
145938669
153b20160
hex28a6e05

42626565 has 24 divisors (see below), whose sum is σ = 78233688. Its totient is φ = 21396480.

The previous prime is 42626561. The next prime is 42626569. The reversal of 42626565 is 56562624.

It is an interprime number because it is at equal distance from previous prime (42626561) and next prime (42626569).

It can be written as a sum of positive squares in 4 ways, for example, as 23677956 + 18948609 = 4866^2 + 4353^2 .

It is not a de Polignac number, because 42626565 - 22 = 42626561 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42626561) 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 23 ways as a sum of consecutive naturals, for example, 27096 + ... + 28625.

It is an arithmetic number, because the mean of its divisors is an integer number (3259737).

Almost surely, 242626565 is an apocalyptic number.

42626565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42626565 is a deficient number, since it is larger than the sum of its proper divisors (35607123).

42626565 is a wasteful number, since it uses less digits than its factorization.

42626565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55749 (or 55746 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 42626565 is about 6528.9022813946. The cubic root of 42626565 is about 349.3226764768.

The spelling of 42626565 in words is "forty-two million, six hundred twenty-six thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 55721 167163 278605 501489 835815 947257 2507445 2841771 4736285 8525313 14208855 42626565