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42679575 = 3352531193
BaseRepresentation
bin1010001011001…
…1110100010111
32222022100101000
42202303310113
541411221300
64122434343
71025525151
oct242636427
988270330
1042679575
1122100884
12123629b3
138ac43b3
14594dad1
153b30c00
hex28b3d17

42679575 has 48 divisors (see below), whose sum is σ = 79950240. Its totient is φ = 22314240.

The previous prime is 42679573. The next prime is 42679577. The reversal of 42679575 is 57597624.

42679575 is a `hidden beast` number, since 4 + 2 + 6 + 79 + 575 = 666.

It is an interprime number because it is at equal distance from previous prime (42679573) and next prime (42679577).

It is not a de Polignac number, because 42679575 - 21 = 42679573 is a prime.

It is a super-2 number, since 2×426795752 = 3643092244361250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42679575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42679573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35179 + ... + 36371.

It is an arithmetic number, because the mean of its divisors is an integer number (1665630).

Almost surely, 242679575 is an apocalyptic number.

42679575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42679575 is a deficient number, since it is larger than the sum of its proper divisors (37270665).

42679575 is a wasteful number, since it uses less digits than its factorization.

42679575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1254 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 42679575 is about 6532.9606611398. The cubic root of 42679575 is about 349.4674213034.

The spelling of 42679575 in words is "forty-two million, six hundred seventy-nine thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 135 159 225 265 477 675 795 1193 1325 1431 2385 3579 3975 5965 7155 10737 11925 17895 29825 32211 35775 53685 63229 89475 161055 189687 268425 316145 569061 805275 948435 1580725 1707183 2845305 4742175 8535915 14226525 42679575