Search a number
-
+
42363405 = 355717293
BaseRepresentation
bin1010000110011…
…0101000001101
32221201021200000
42201212220031
541321112110
64111554513
71023040320
oct241465015
987637600
1042363405
1121a05287
121222ba39
138a13506
1458aa7b7
153abc1c0
hex2866a0d

42363405 has 96 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 18164736.

The previous prime is 42363389. The next prime is 42363413. The reversal of 42363405 is 50436324.

42363405 is a `hidden beast` number, since 4 + 23 + 634 + 0 + 5 = 666.

It is not a de Polignac number, because 42363405 - 24 = 42363389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144439 + ... + 144731.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 242363405 is an apocalyptic number.

42363405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42363405 is an abundant number, since it is smaller than the sum of its proper divisors (50098419).

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

42363405 is a wasteful number, since it uses less digits than its factorization.

42363405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42363405 is about 6508.7176156291. The cubic root of 42363405 is about 348.6023308224.

Adding to 42363405 its reverse (50436324), we get a palindrome (92799729).

The spelling of 42363405 in words is "forty-two million, three hundred sixty-three thousand, four hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 243 255 293 315 357 405 459 567 595 765 879 945 1071 1215 1377 1465 1701 1785 2051 2295 2637 2835 3213 4131 4395 4981 5355 6153 6885 7911 8505 9639 10255 13185 14943 16065 18459 20655 23733 24905 28917 30765 34867 39555 44829 48195 55377 71199 74715 92295 104601 118665 134487 144585 166131 174335 224145 276885 313803 355995 403461 498393 523005 672435 830655 941409 1210383 1569015 2017305 2491965 2824227 4707045 6051915 8472681 14121135 42363405