Search a number
-
+
42378864 = 2431180263
BaseRepresentation
bin1010000110101…
…0011001110000
32221202001212120
42201222121300
541322110424
64112154240
71023133353
oct241523160
987661776
1042378864
1121a15960
1212238980
138a1a568
1458b229a
153ac1a79
hex286a670

42378864 has 40 divisors (see below), whose sum is σ = 119432832. Its totient is φ = 12841920.

The previous prime is 42378851. The next prime is 42378877. The reversal of 42378864 is 46887324.

It is an interprime number because it is at equal distance from previous prime (42378851) and next prime (42378877).

It is a super-3 number, since 3×423788643 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 39604 + ... + 40659.

Almost surely, 242378864 is an apocalyptic number.

42378864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42378864 is an abundant number, since it is smaller than the sum of its proper divisors (77053968).

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

42378864 is a wasteful number, since it uses less digits than its factorization.

42378864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80285 (or 80279 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 42378864 is about 6509.9050684323. The cubic root of 42378864 is about 348.6447289571.

The spelling of 42378864 in words is "forty-two million, three hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 80263 160526 240789 321052 481578 642104 882893 963156 1284208 1765786 1926312 2648679 3531572 3852624 5297358 7063144 10594716 14126288 21189432 42378864