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42262605 = 32571112197
BaseRepresentation
bin1010000100111…
…0000001001101
32221112011101200
42201032001031
541304400410
64105500113
71022140410
oct241160115
987464350
1042262605
1121946580
12121a1639
1389a9678
145881b77
153a9c3c0
hex284e04d

42262605 has 48 divisors (see below), whose sum is σ = 91338624. Its totient is φ = 17562240.

The previous prime is 42262603. The next prime is 42262639. The reversal of 42262605 is 50626224.

It is not a de Polignac number, because 42262605 - 21 = 42262603 is a prime.

It is a super-2 number, since 2×422626052 = 3572255562772050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42262603) 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, 2634 + ... + 9563.

It is an arithmetic number, because the mean of its divisors is an integer number (1902888).

Almost surely, 242262605 is an apocalyptic number.

42262605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42262605 is an abundant number, since it is smaller than the sum of its proper divisors (49076019).

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

42262605 is a wasteful number, since it uses less digits than its factorization.

42262605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12226 (or 12223 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42262605 is about 6500.9695430759. The cubic root of 42262605 is about 348.3256216989.

Adding to 42262605 its reverse (50626224), we get a palindrome (92888829).

The spelling of 42262605 in words is "forty-two million, two hundred sixty-two thousand, six hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 12197 36591 60985 85379 109773 134167 182955 256137 402501 426895 548865 670835 768411 939169 1207503 1280685 2012505 2817507 3842055 4695845 6037515 8452521 14087535 42262605