Search a number
-
+
42302568 = 23371122081
BaseRepresentation
bin1010000101011…
…1110001101000
32221121012012210
42201113301220
541312140233
64110405120
71022365050
oct241276150
987535183
1042302568
1121973600
12122007a0
1389c1909
145892560
153aa9163
hex2857c68

42302568 has 96 divisors (see below), whose sum is σ = 132914880. Its totient is φ = 10982400.

The previous prime is 42302563. The next prime is 42302591. The reversal of 42302568 is 86520324.

It is not an unprimeable number, because it can be changed into a prime (42302563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19288 + ... + 21368.

It is an arithmetic number, because the mean of its divisors is an integer number (1384530).

Almost surely, 242302568 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 42302568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66457440).

42302568 is an abundant number, since it is smaller than the sum of its proper divisors (90612312).

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

42302568 is a wasteful number, since it uses less digits than its factorization.

42302568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42302568 is about 6504.0424352859. The cubic root of 42302568 is about 348.4353779208.

The spelling of 42302568 in words is "forty-two million, three hundred two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2081 2541 2904 3388 4162 5082 6243 6776 8324 10164 12486 14567 16648 20328 22891 24972 29134 43701 45782 49944 58268 68673 87402 91564 116536 137346 160237 174804 183128 251801 274692 320474 349608 480711 503602 549384 640948 755403 961422 1007204 1281896 1510806 1762607 1922844 2014408 3021612 3525214 3845688 5287821 6043224 7050428 10575642 14100856 21151284 42302568