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42268135 = 5721323577
BaseRepresentation
bin1010000100111…
…1010111100111
32221112102222111
42201033113213
541310040020
64105541451
71022162500
oct241172747
987472874
1042268135
112194a748
12121a4887
1389ac040
145883ba7
153a9dd5a
hex284f5e7

42268135 has 48 divisors (see below), whose sum is σ = 66419136. Its totient is φ = 25546752.

The previous prime is 42268117. The next prime is 42268139. The reversal of 42268135 is 53186224.

It is not a de Polignac number, because 42268135 - 29 = 42267623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42268097 and 42268106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42268139) 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, 72967 + ... + 73543.

It is an arithmetic number, because the mean of its divisors is an integer number (1383732).

Almost surely, 242268135 is an apocalyptic number.

42268135 is a deficient number, since it is larger than the sum of its proper divisors (24151001).

42268135 is a wasteful number, since it uses less digits than its factorization.

42268135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 42268135 is about 6501.3948503379. The cubic root of 42268135 is about 348.3408136689.

The spelling of 42268135 in words is "forty-two million, two hundred sixty-eight thousand, one hundred thirty-five".

Divisors: 1 5 7 13 23 35 49 65 91 115 161 245 299 455 577 637 805 1127 1495 2093 2885 3185 4039 5635 7501 10465 13271 14651 20195 28273 37505 52507 66355 73255 92897 141365 172523 262535 367549 464485 650279 862615 1207661 1837745 3251395 6038305 8453627 42268135