Search a number
-
+
42663285 = 32571731257
BaseRepresentation
bin1010001010111…
…1110101110101
32222021112000200
42202233311311
541410211120
64122231113
71025426520
oct242576565
988245020
1042663285
112209a615
1212355499
138ab9b62
145947bb7
153b2ae90
hex28afd75

42663285 has 96 divisors (see below), whose sum is σ = 92731392. Its totient is φ = 17694720.

The previous prime is 42663281. The next prime is 42663287. The reversal of 42663285 is 58236624.

It is not a de Polignac number, because 42663285 - 22 = 42663281 is a prime.

Its product of digits (69120) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42663281) 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, 165877 + ... + 166133.

It is an arithmetic number, because the mean of its divisors is an integer number (965952).

Almost surely, 242663285 is an apocalyptic number.

42663285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42663285 is an abundant number, since it is smaller than the sum of its proper divisors (50068107).

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

42663285 is a wasteful number, since it uses less digits than its factorization.

42663285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42663285 is about 6531.7137873609. The cubic root of 42663285 is about 349.4229539071.

The spelling of 42663285 in words is "forty-two million, six hundred sixty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 31 35 45 51 63 85 93 105 119 153 155 217 255 257 279 315 357 465 527 595 651 765 771 1071 1085 1285 1395 1581 1785 1799 1953 2313 2635 3255 3689 3855 4369 4743 5355 5397 7905 7967 8995 9765 11067 11565 13107 16191 18445 21845 23715 23901 26985 30583 33201 39321 39835 55335 55769 65535 71703 80955 91749 119505 135439 152915 166005 167307 196605 275247 278845 358515 406317 458745 501921 677195 836535 948073 1218951 1376235 2031585 2509605 2844219 4740365 6094755 8532657 14221095 42663285