[go: up one dir, main page]

Search a number
-
+
42685335 = 32571197127
BaseRepresentation
bin1010001011010…
…1001110010111
32222022122021100
42202311032113
541411412320
64122521143
71025551020
oct242651627
988278240
1042685335
1122105140
12123661b3
138ac6bc4
145951c47
153b32790
hex28b5397

42685335 has 96 divisors (see below), whose sum is σ = 93929472. Its totient is φ = 17418240.

The previous prime is 42685333. The next prime is 42685337. The reversal of 42685335 is 53358624.

42685335 = T153 + T154 + ... + T637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42685333) and next prime (42685337).

It is not a de Polignac number, because 42685335 - 21 = 42685333 is a prime.

It is a super-3 number, since 3×426853353 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42685335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42685333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336042 + ... + 336168.

It is an arithmetic number, because the mean of its divisors is an integer number (978432).

Almost surely, 242685335 is an apocalyptic number.

42685335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42685335 is an abundant number, since it is smaller than the sum of its proper divisors (51244137).

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

42685335 is a wasteful number, since it uses less digits than its factorization.

42685335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 250 counting only the distinct ones).

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

The square root of 42685335 is about 6533.4014877398. The cubic root of 42685335 is about 349.4831418738.

Subtracting 42685335 from its reverse (53358624), we obtain a square (10673289 = 32672).

The spelling of 42685335 in words is "forty-two million, six hundred eighty-five thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 97 99 105 127 165 231 291 315 381 385 485 495 635 679 693 873 889 1067 1143 1155 1397 1455 1905 2037 2667 3201 3395 3465 4191 4365 4445 5335 5715 6111 6985 7469 8001 9603 9779 10185 12319 12573 13335 16005 20955 22407 29337 30555 36957 37345 40005 48015 48895 61595 62865 67221 86233 88011 110871 112035 135509 146685 184785 258699 336105 406527 431165 440055 554355 677545 776097 948563 1219581 1293495 2032635 2845689 3880485 4742815 6097905 8537067 14228445 42685335