Search a number
-
+
42133308 = 2237975171
BaseRepresentation
bin1010000010111…
…0011100111100
32221021121000220
42200232130330
541241231213
64103021340
71021061430
oct240563474
987247026
1042133308
1121868418
121213a850
138962869
14584a9c0
153a73e23
hex282e73c

42133308 has 48 divisors (see below), whose sum is σ = 113535744. Its totient is φ = 11911680.

The previous prime is 42133297. The next prime is 42133313. The reversal of 42133308 is 80333124.

42133308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5563 + ... + 10733.

It is an arithmetic number, because the mean of its divisors is an integer number (2365328).

Almost surely, 242133308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42133308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56767872).

42133308 is an abundant number, since it is smaller than the sum of its proper divisors (71402436).

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

42133308 is a wasteful number, since it uses less digits than its factorization.

42133308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42133308 is about 6491.0174857259. The cubic root of 42133308 is about 347.9700396984.

It can be divided in two parts, 4 and 2133308, that added together give a palindrome (2133312).

The spelling of 42133308 in words is "forty-two million, one hundred thirty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 4074 5171 8148 10342 15513 20684 31026 36197 62052 72394 108591 144788 217182 434364 501587 1003174 1504761 2006348 3009522 3511109 6019044 7022218 10533327 14044436 21066654 42133308